anonymous
  • anonymous
Janine made a cylindrical vase in which the sum of the lateral area and area of one base was about 3000 square centimeters. The vase had a height of 50 centimeters. Find the radius of the vase. Explain the method you would use to find the radius.
Mathematics
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anonymous
  • anonymous
Janine made a cylindrical vase in which the sum of the lateral area and area of one base was about 3000 square centimeters. The vase had a height of 50 centimeters. Find the radius of the vase. Explain the method you would use to find the radius.
Mathematics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
?
kropot72
  • kropot72
lateral area of cylinder = circumference * height\[A _{l}=2\times \pi \times r \times h\ ...........(1)\] area of base is given by\[A _{b}=\pi \times r ^{2}\ ...........(2)\] \[A _{l}+A _{b}=3000=(2\times \pi \times r \times 50)+(\pi \times r ^{2})\ ........(3)\] You can form a quadratic equation from (3) and one of the solutions is the radius.
anonymous
  • anonymous
is this the answer because i don't understand at all..lol

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kropot72
  • kropot72
The quadratic equation is as follows: \[\pi r ^{2}+100\pi r-3000=0\] You need to solve this to find r the radius of the vase.
anonymous
  • anonymous
anonymous
  • anonymous
8.78 cm
anonymous
  • anonymous
anonymous
  • anonymous
is my answer right 8.78 cm
kropot72
  • kropot72
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