Question

Match each three-dimensional figure to its volume based on the given dimensions. (Assume T = 3.14.)

Answer 1

A right circular cylinder with radius 4 cm and height 3 cm-150.72 cu cm

A cone with radius 5cm and height 12 cm-314 cu cm

A pyramid with base area 16 sq cm and height 30 cm-160 cu cm

A pyramid with a square base of length 3 cm and height 16 cm-48 cu cm

Explanation

volume of cylinder=$\pi r^2h$$3.14*4^2*3=150.72$ cu cm

volume of cone=$1/3 \pi r^2 h$=314 cu cm

volume of pyramid=$(base area*height)/3=(16*30)/3$=160 cu cm

volume of pyramid=

=$(base area*height)/3\\square base length=3 cm\\base area=a^2 =3^2 =9\\volume=(9*16)/3=48cm^3$