Question

What is the volume of the compositefigure shown? Use 3.14 for 1.

Answer 1

first, we find the volume of cone

`V=(\pi\cdot r^2\cdot h)/(3)=(\pi\cdot2^2\cdot6)/(3)=(\pi\cdot4\cdot6)/(3)=(\pi\cdot24)/(3)=8\pi`

then, we find the volume of the semisphere

`V=(2)/(3)\cdot\pi\cdot r^3=(2)/(3)\cdot\pi\cdot2^3=(2)/(3)\cdot\pi\cdot8=(16)/(3)\pi`

so the volume of figure is:

`V=8\pi+(16)/(3)\pi=(40)/(3)\pi=(40)/(3)(3.14)=(125.6)/(3)=41.87`

answer: 41.87 in^3