Question

find the volume of a hemisphere when the diameter is 24 cm. Leave answer in terms of Pi. I had the answer of 1152 which is not correct.

Answer 1

`1152\text{ }\pi cm^3`

Step-by-step explanation

the volume of a hemisphere is given by:

`\text{Volume}_(hemisphere)=(2)/(3)\cdot\pi\cdot r^3`

where r is the radius

then

`\begin{gathered} Diameter=2\text{radius} \\ \frac{\text{Diameter}}{2}=r \\ \frac{24\text{ cm}}{2}=r \\ r=12\text{ cm} \end{gathered}`

now, replace.

so, the answer is

`\text{Volume}_(hemisphere)=1152\text{ }\pi cm^3`

I hope this helps you