Question

What is The volume of a cylinder 7 in height and 3 radius and a cone of 7 height and 3 radius together? So what is The volume of both together?

Answer 1

`\begin{gathered} \text{Volume V}_(cy),\text{ of a cylinder with base radius r and height h is given by} \\ V_(cy)=\pi* r^2* h \end{gathered}`

In this case r =3, h= 7

`\Rightarrow V_(cy)=\pi*3^2*7=63\pi=197.92unit^3`
`\begin{gathered} \text{The Volume V}_{co\text{ }}of\text{ a cone with base radius r and height h is given by:} \\ V_(co)=(1)/(3)*\pi* r^2* h \end{gathered}`

In this case,

r=3, h=7

`V_(co)=(1)/(3)*\pi*(3)^2*7=21\pi=65.97unit^3`
`\begin{gathered} \text{Therefore} \\ V_(cy)+V_(co)=63\pi+21\pi=84\pi=263.89unit^3 \end{gathered}`

Hence

volume of cone + volume of cylinder = 263.89 cube units