A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
A hemisphere has a volume of 18π cm3. Find its radius
anonymous
 5 years ago
A hemisphere has a volume of 18π cm3. Find its radius

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Volume is half that of a sphere V=(1/2)*(4/3)*pi*r^3 = 18pi > 2/3 r^3 = 18 >r^3 = 18*(3/2) > r^3 = 27 = 3*3*3 r=3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0A sphere has a volume of 972π in.3. Find its radius.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0same as above V = 4/3 pi r^3 = 972 solve for r

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0A triangular pyramid has a volume of 180 cm3 and a height of 12 cm. Find the length of a side of the triangular base if the triangle’s height from that side is 6 cm.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0volume of pyramid is area of base(B)*height V = B*12 = 180 B = 180/12 = 15 Area of base is area of triangle A = 1/2 * length(L)*height = 15 1/2*6*L = 15 solve for L

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oops i messed up volume of pyramid is 1/3* B*h correction 1/3*B*12 = 180 B = 180/4 = 45 ... A=1/2*6*L = 45

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no (1/2)*6*L = 45 solve for L by multiplying 6 and 1/2, then dividing on both sides

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The volume of a cylinder is 628 cm3. Find the radius of the base if the cylinder has a height of 8 cm. Round your answer to the nearest 0.1 cm.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok for this one can you tell me the volume formula for cylinder?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0good base is a circle, whats the area of a circle?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0good V = (pir^2)*h pi*r^2*8 = 628

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0multiply 8*pi divide on both sides

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0dont forget about pi (use3.14) r^2 = 78.5/pi divide 78.5/3.14 then take the square root to get r

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0actually with rounding to nearest .1 it would just be 5

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sylvia has just discovered that the valve on her cement truck failed during the night and that all the contents ran out to form a giant cone of hardened cement. To make an insurance claim, she needs to figure out how much cement is in the cone. The circumference of its base is 44 feet, and it is 5 feet high. Calculate the volume to the nearest cubic foot.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0to answer this we need to find radius what is circumference of circle

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0good but we still need to divide by pi (3.14)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.02pi*r =44 pi*r=22 r=22/pi

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0good next we use volume of cone formula

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0really all you need to do to solve these problems is just write out the sets of equations that apply to the problem for example the circumference equation and the volume of a cone. then, you plug in what you know such as the measurement of circumference to solve for the radius then plug that into the volume of a cone formula.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes b = area of circle w/ radius of 7

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0use what you do know to find what you don't

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0good V = 1/3 * 49pi*5 multiply it out

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0good now round to nearest foot

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0don't forget your units

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yep ok i gotta go keep doing these steps, find correct formula plug in numbers you you solve for ones you don't good luck

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thanks kristo, forgot about that

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0A sealed rectangular container 6 cm by 12 cm by 15 cm is sitting on its smallest face. It is filled with water up to 5 cm from the top. How many centimeters from the bottom will the water level reach if the container is placed on its largest face?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0alright first you need to find the volume of the water on its smallest face

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0one sec i will be right back...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so what might be a good idea is to draw a picture first which face would be the smallest?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay so what you have is a rectangular prism with a base of 6x12 (the smallest face) making the height without water 15

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so the height of the water is five cm from the top so you subtract five from fifteen to get the height of the water

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0720 6x12x10 remember to include WxLxH

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now we have the volume what we don't know is what the height of the water is when the container is set on its largest face

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so i would draw a picture of the new rectangle first what is the W and the L of the base?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0we only subtracted five to find the height of the water when the container was on the small face, since we have the W and L now we solve for the height using the volume formula V=WxLxH

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0use the volume formula we found before 720

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now subtract that from six since it wants the height from the top of the prism

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do you really understand how we got that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well some of the time

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0try to image a cereal box, you have the box standing up. you know how high the cereal is from the top of the box you use that to find the volume of the cereal. then you tip the box on its larger face then you want to know what the height of the cereal is from the new top edge of the box

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0does that help to picture the problem a little better?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0or length times width times height = volume

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but you got the concept

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i have to sleep now but good luck

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0we know that 4 is the height so we need to find the base
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.