Respuesta :

[tex]\begin{gathered} \text{Volume V}_{cy},\text{ of a cylinder with base radius r and height h is given by} \\ V_{cy}=\pi\times r^2\times h \end{gathered}[/tex]

In this case r =3, h= 7

[tex]\Rightarrow V_{cy}=\pi\times3^2\times7=63\pi=197.92unit^3[/tex][tex]\begin{gathered} \text{The Volume V}_{co\text{ }}of\text{ a cone with base radius r and height h is given by:} \\ V_{co}=\frac{1}{3}\times\pi\times r^2\times h \end{gathered}[/tex]

In this case,

r=3, h=7

[tex]V_{co}=\frac{1}{3}\times\pi\times(3)^2\times7=21\pi=65.97unit^3[/tex][tex]\begin{gathered} \text{Therefore} \\ V_{cy}+V_{co}=63\pi+21\pi=84\pi=263.89unit^3 \end{gathered}[/tex]

Hence

volume of cone + volume of cylinder = 263.89 cube units