Mathematics 4024 · O Level · Surface area and volume
Surface area and volume — practice question
For a sphere, the volume is $\frac{4}{3}\pi r^3$. For a sphere, the surface area is $4\pi r^2$. A hemispherical bowl is formed from material with thickness $0.8\text{ cm}$. The external rim radius of the bowl is $9\text{ cm}$. The bowl is fixed onto a base that is a solid cylinder, with radius $3.8\text{ cm}$ and height $1.5\text{ cm}$.
(a)[2]
Calculate the area of the inside surface of the hemispherical bowl.
(b)[5]
Calculate the total volume of material needed for the bowl and the base together.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Appropriate volume method” …