1. Unofficialllyy

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: Which of the following could be used to calculate the total volume of grains that can be stored in the silo?

2. DanJS

If i am picturing the thing right, it is the vvolume of a cylinder plus the volume of the cone

3. DanJS

|dw:1437755024017:dw|

4. Unofficialllyy

5. DanJS

Yes Total Volume = Volume Cylinder + Volume Cone

6. DanJS

Cylinder - height = 8 ft , radius = 2 ft Cone - height = 1.5 ft, radius = 2 ft

7. Unofficialllyy

I got $\pi(2ft)^2(8ft)+\frac{ 1 }{ 3 } \pi(2ft)^2(9.5ft-8ft)$

8. DanJS

$Volume = [\pi*r^2*h _{cyl}] + [\frac{ 1 }{ 3 }\pi*r^2*h _{cone}]$

9. DanJS

yep, looks good

10. Unofficialllyy

Could you help me with some more?

11. DanJS

sure

12. Unofficialllyy

What is the weight (in grams) of a liquid that exactly fills a 202.0 milliliter container if the density of the liquid is 0.685grams over milliliter? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.

13. DanJS

weight = newtons, mass= grams.

14. DanJS

nvm

15. DanJS

Given: Volume = 202.0 mL Density = 0.685 g / mL Find: mass [g]

16. DanJS

Density = mass / volume so mass = density * volume

17. Unofficialllyy

I'm really confused lol

18. DanJS

Just remember, the density is a mass per unit of volume Density = mass / volume

19. DanJS

multiplying both sides by volume mass = volume x density

20. Unofficialllyy

I got 138.37

21. DanJS

|dw:1437755681677:dw|

22. DanJS

right

23. Unofficialllyy

I have one more that I need help with.

24. DanJS

sure

25. Unofficialllyy

A cone has a diameter of 8 centimeters and a height that is 4 times the diameter. Using 3.14 for pi, which of the following can be used to calculate the volume of the cone?

26. anonymous

i agree with you because you work really explains well

27. DanJS

v = (1/3) * pi * r^2 * h

28. DanJS

diameter = 8, so radius = 4 height = 4*diameter = 4*8 = 32

29. Unofficialllyy

My answer is: $\frac{ 1 }{ 3 }(3.14)(8cm)^2(32cm)$

30. DanJS

yep, and as a check, your units come out to cm^3 which is correct for a Volume

31. anonymous

yep

32. Unofficialllyy

thank you so much!

33. DanJS

no prob , anytime