Question

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

a right cylinder with radius 4 cm
and height 3 cm
314 cu cm
a cone with radius 5 cm and
height 12 cm
160 cu cm
a pyramid with base area
16 sq cm and height 30 cm
48 cu cm
a pyramid with a square base of
length 3 cm and height 16 cm
150.72 cu cm

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

Step-by-step 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`