The volumes are equal, so the equation below fits. Insert values and solve for L.
π*r^2*h = h*L^2
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?
2 answers
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
3.14 x 7.5 x 7.5 x 12 = 2119.50
16.28 x 16.28 x 8 =2,120.3
1 answer