Question Type 3: Calculating the surface area of specific 3D shapes given the parameters Exercises

Calculate the volume of a right circular cylinder with radius $r=2$ and height $h=3$.

Compute the surface area of a sphere with radius $r=2$.

Compute the volume of a sphere with radius $r=2$.

Find the volume of a right circular cone with radius $r=2$ and height $h=3$.

Determine the volume of a hemisphere with radius $r=2$.

Find the curved (lateral) surface area of a right circular cone with radius $r=2$ and height $h=3$.

Determine the total surface area of a hemisphere (including its circular base) with radius $r=2$.

Calculate the total surface area of a right circular cylinder with radius $r=2$ and height $h=3$.

Calculate the total surface area of a right circular cone with radius $r=2$ and height $h=3$.

A solid is composed of a right circular cylinder with radius $r=2$ and height $h=3$ attached to a hemisphere of radius $r=2$. Find the total volume of the composite solid.

A solid is made by placing a right circular cone (radius $r=2$, height $h=3$) on top of a right circular cylinder (radius $r=2$, height $h=3$). Calculate the volume of the resulting solid.

A solid is formed by attaching a hemisphere of radius $r=2$ to one end of a right circular cylinder of radius $r=2$ and height $h=3$ (the cylinder’s top is removed to fit the hemisphere). Calculate the total surface area of the composite solid.