Question

Find the volume of the composite figure. Round to the nearest hundredth pls explain how you got it

Answer 1

we have that

the volume of the composite figure is equal to the volume of a cone plus the volume of a cylinder

so

step 1

Find the volume of a cone

$V=\frac{1}{3}\cdot\pi\cdot r^2\cdot h$

we have

r=3 ft

h=(6-3)=3 ft

pi=3.14

substitute

$\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot3^2\cdot3 \\ V=28.26\text{ ft3} \end{gathered}$

step 2

Find the volume of cylinder

$V=\pi\cdot r^2\cdot h$

we have

r=3 ft

h=3 ft

pi=3.14

substitute

$\begin{gathered} V=3.14\cdot3^2\cdot3 \\ V=84.78\text{ ft3} \end{gathered}$

step 3

the total volume is

V=28.26+84.78=113.04 ft3