Surface Areas and Volumes Practice 1: Combined Solids and Formula Choice

Section A: Core Ideas

Question 1mcq

A toy is made by placing a cone on top of a cylinder with the same radius. What are the component solids?

A.A sphere and a cube

B.Two cones

C.A cuboid and a sphere

D.A cone and a cylinder

Question 2mcq

For a cylinder closed at both ends, which area is its total surface area?

A.

\pi r^2h

B.

\frac13\pi r^2h

C.

2\pi rh+2\pi r^2

D.

2\pi rh

Question 3mcq

A solid consists of a cylinder of volume

300\text{ cm}^3

and a cone of volume

100\text{ cm}^3

joined together. What is the total volume?

A.

100\text{ cm}^3

B.

400\text{ cm}^3

C.

200\text{ cm}^3

D.

30000\text{ cm}^3

Question 4mcq

A cuboid of volume

1000\text{ cm}^3

has a cylindrical hole of volume

120\text{ cm}^3

removed. What is the remaining volume?

A.

880\text{ cm}^3

B.

1120\text{ cm}^3

C.

120000\text{ cm}^3

D.

1000\text{ cm}^3

Question 5mcq

A cylindrical pipe is attached to a cuboid tank. Which pair of formulas may be needed for volume?

A.

2\pi r

and

lb

B.

4\pi r^2

and

l+b+h

C.

\frac13\pi r^2h

and

a^2

D.

\pi r^2h

and

lbh

Section B: Apply and Check

Question 6mcq

A cone is placed on a cylinder of the same radius. Which surface is usually hidden at the joint?

A.The cylinder curved surface

B.The top point of the cone

C.The circular base where cone and cylinder meet

D.The cone curved surface

Question 7mcq

A hemispherical dome sits on a cylinder. For exposed outer surface area, which areas are added?

A.Only circular base area

B.CSA of cylinder + CSA of hemisphere

C.TSA of cylinder + TSA of sphere

D.Volume of cylinder + area of hemisphere

Question 8mcq

What is the volume of a sphere of radius

3

cm?

A.

36\pi\text{ cm}^3

B.

12\pi\text{ cm}^3

C.

9\pi\text{ cm}^3

D.

18\pi\text{ cm}^3

Question 9mcq

A cuboid

10\times8\times5

cm is joined to a cube of side

5

cm. What is the total volume?

A.

400\text{ cm}^3

B.

125\text{ cm}^3

C.

650\text{ cm}^3

D.

525\text{ cm}^3

Question 10mcq

Convert

2500\text{ cm}^3

into litres.

A.

0.25

L

B.

250

L

C.

2.5

L

D.

25

L