Question

Find the volume of each figure. In (b) give the answer in terms of pi. (a)a box with length = 3 ft., width = 2 ft., and height = 1.5 ft. (b) a sphere with radius 3in.

Answer 1

(1)

l=3 ft

w=2ft

h=1.5ft

the dimensions are different so it the cuboid

the volume of the cuboid is V= l*w*h

substitute the values

V=3*2*1.5

multiplying

V=9 cube ft

(2)

the radius of the sphere is r= 3 inches.

The volume of the sphere is

$V=\frac{4}{3}\pi\times r^3$

substitute all the values in the above expression

$V=\frac{4}{3}\times\pi\times3^3$$V=4\times3^2\times\pi$

$V=36\pi$

So the answer is 36 pi.