# geometry

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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

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