Question

Find the volume of a hemisphere that has a diameter of 26 inches. Leave your answer in notatioType 'pi' to represent Pi

Answer 1

The formula for finding the volume a hemisphere is given by

`V_{\text{hemisphere}}=(2)/(3)\pi r^3`

Given the diameter of 26inches, the radius would be

`\begin{gathered} \text{radius,r}=\text{diameter,d}(diameter,d)/(2)=(26inches)/(2) \\ r=13\text{inches} \end{gathered}`

Substituting for r in the volume of a hemisphere will give

`\begin{gathered} V_{\text{hemisphere}}=(2)/(3)*\pi*13^3 \\ =(2)/(3)*2197\pi\text{ cubic inches} \\ =1464.67\pi\text{ cubic inches} \end{gathered}`

Hence, the volume of the hemisphere is 1464pi cubic inches