Question

What is the volume of the cone?5 cm21 cmA 70π cm³B 105 cm³C 175 cm³D 525 cm³

Answer 1

Step-by-step explanation

The formula to find the volume of a cone is:

`\begin{gathered} V=(1)/(3)\pi r^2h \\ \text{ Where} \\ r\text{ is the radius of the base} \\ h\text{ is the height} \end{gathered}`

So, we have:

`\begin{gathered} r=5cm \\ h=21cm \end{gathered}`
`\begin{gathered} V=(1)/(3)\pi r^(2)h \\ V=(1)/(3)\pi(5cm)^(2)(21cm) \\ V=(1)/(3)\pi(525cm^3) \\ V=(525\pi)/(3)cm^3 \\ V=175\pi cm^3 \end{gathered}`

Answer

C 175π