geometry

posted by .

a circular cylinder has a base with a radius of 7.5 cm. and a height of 12 cm. a rectangular prism has a square base and height of 8.0 cm. if the cylinder and the prism have equal volumes, what is the length of the base of the prism to the nearest tenth?

  • geometry -

    The volumes are equal, so the equation below fits. Insert values and solve for L.

    π*r^2*h = h*L^2

  • geometry -

    16.3 is the length of the base rounded to the nearest tenth.
    3.14 x 7.5 x 7.5 x 12 = 2119.50

    16.28 x 16.28 x 8 =2,120.3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math 117

    1.) A rectangular solid and a circular cylinder have the same volume and the same height. The base of the rectangular solid is a square. Which (if any) of the following statements are true?
  2. geometry

    10. In cubic meters, how much greater is the volume of a cylinder with height 19 m and a radius 16 m than the volume of a square prism with height 19 m and base 16 m on a side?
  3. Math

    A rectangular prism has a length of 100 cm, a height of 10 cm and a width of 5 cm. What is the volume of the rectangular prism?
  4. Algebra!!

    1)volume of a ctlinder: 198mm Radius base: ?
  5. math

    Tommy has right rectangular prism with base length 5 and a cylinder with radius 2.5. If both objects have equal surface areas, what is : a)the height of the right rectangular prism?
  6. geometry

    You have a rectangular prism. The center section has been removed. The base of the original prism is 6in wide and 8in long. The height of the prism is 10in. What is the total exposed surface are of the new prism?
  7. Math

    A rectangular solid has a base area of 43.3 sq inches and a height of 50 inches a triangular prism has a base in the shape of an equilateral triangle and a height of 50 inches. the volumes for both shapes are equal. find the side of …
  8. Math - Please Check My Answer - Probably Last One!

    Please help me with the following: The volume of a cylinder is found using the formula V=πr^2h,where r is the radius of the base and h is the height. The volume of a rectangular prism of the same width (2r) and height h, as the …
  9. Math

    a) One mould forms a sculpture that is a composite object comprising a right cylinder with base diameter 15 in. and height 3 in., and a right cone with the same base diameter as the base of the cylinder and a height of 9 in. Determine …
  10. Algebra

    The volume of a right circular cylinder (think of a pop can) is jointly proportional to the square of the radius of the circular base and to the height. For example, when the height is 10.62 cm and the radius is 3 cm, then the volume …

More Similar Questions