Question

Find the volume of each figure to the nearest tenth. Show your work. please

Answer 1

Sphere volume:
`(4)/(3) \pi r^3`


`(4)/(3) \pi 6^3`


`(4)/(3)*216 \pi`


`288 \pi`

V = 288π = 288*3,14 = 904,3 m³

Cone volume:
`( \pi r^2h)/(3)`

We don't have the height, so we should find it firstly.

Watch the triangle "inside" the cone. It is a right triangle. The apothem is the hypothenuse and the radius is the shortest leg.

Apply Pitagora.

h (longest leg) = √13²-5² = √169-25 = √144 = 12 m

V =
`( 5^2*12 \pi)/(3)`


`(25*12* \pi )/(3)`


`(300 \pi )/(3)`

(300*3,14)/3 = 942/3 = 314 m³

Parallelepiped volume: a*b*h

a = 11, b = 5, h = 6

V = 11*5*6 = 330 cm³