Book 3 Chapter 6: Areas & Volumes Of Solids

Question 1

What is the total surface area of a closed cylinder that is 10 cm high and 4 cm in diameter?
A) 150.8 cm squared
B) 145.7 cm squared
C) 154.3 cm squared
D) 136.6 cm squared

Answer 1

A) 150.8 cm squared

Question 2

Find the volume in cubic centimetres of a cylinder having a radius of 3 cm and a height of 8 cm.
A) 196.3 cm cubed
B) 226.2 cm cubed
C) 245.2 cm cubed
D) 233.3 cm cubed

Answer 2

B) 226.2 cm cubed

Question 3

The bottom of a rectangle water tank is 5.5 m x 6.0 m. The tank must contain 85 m cubed of water when 90% full, what should the height of the tank be?
A) 2.58 m
B) 2.33 m
C) 2.86 m
D) 3.05 m

Answer 3

C) 2.86 m

Question 4

Volume = L x W x H, if L=10cm, W=120mm, and H=5m, then the Volume will equal:
A) 600 cm3
B) 600 L
C) 600 m3
D) 60 m3
E) 60 L

Answer 4

E) 60 L

Question 5

Find the surface area of a sphere with a radius of 3m.
A) 113.1 m2
B) 28.26 m2
C) 37.68 m2
D) 452.2 m2
E) 7.1m2

Answer 5

A) 113.1 m2

Question 6

What is the volume of a cylinder with a diameter of 9 cm and a height of 15 cm?
A) 1590.4 cm3
B) 238.6 cm3
C) 106.0 cm3
D) 954.3 cm3
E) 3817.0 cm3

Answer 6

D) 954.3 cm3

Question 7

One square metre is equal to:
A) 100 cm2
B) 1000 cm2
C) 10 cm2
D) 10 000 cm2
E) 1 cm2

Answer 7

D) 10 000 cm2

Question 8

What is the surface area of a cylinder with a diameter of 4 cm and height of 6 cm (Include the areas of the ends)?
A) 88.0 cm2
B) 1892.5 cm2
C) 25.1 cm2
D) 75.4 cm2
E) 100.5 cm2

Answer 8

E) 100.5 cm2

Question 9

A pressure vessel is in the form of a cylinder it’s each end in the form of a hemisphere. The vessel operates at 1100 kPa. If the overall length is 12 m and the diameter is 3 m, what is the volume of the pressure vessel?
A) 91.9 m3
B) 77.75 m3
C) 113.1 m3
D) 84.8 m3
E) 94.2 m3

Answer 9

B) 77.75 m3

Question 10

If a rectangle has two sides measuring 6 m in length and two sides measuring 2 m in length what is the area in m2?
A) 12 m2
B) 1.115 m2
C) 18 m2
D) 129 m2
E) 4.8768 m2

Answer 10

A) 12 m2

Question 11

The diameter of a cylinder fuel tank is 5 m and its height is 15 m. The volume of the tank in litres is:
A) 29.4525 L
B) 29 452.5 L
C) 294 525 L
D) 2945.25 L
E) 294.525 L

Answer 11

C) 294 525 L

Question 12

What is the surface area of a pressure vessel in the form of a cylinder with each end in the form of a hemisphere, if the overall length is 12 m and the diameter is 3 m?
A) 141.3 m2
B) 113.1 m2
C) 98.9 m2
D) 106.3 m2
E) 84.82 m2

Answer 12

B) 113.1 m2

Question 13

12 inches is equal to _______ cm.
A) 25.40
B) 30.48
C) 35.48
D) 32.80
E) 39.37

Answer 13

B) 30.48

Question 14

Convert 4 mi, 340 yd, to kilometres.
A) 5.489 km
B) 6.748 km
C) 5.465 km
D) 7.382 km
E) 7.042 km

Answer 14

B) 6.748 km

Question 15

Find the lateral area in square metres of a steam pipe 15 cm in diameter and 3 m long.
A) 1.414 m2
B) 0.45 m2
C) 45 m2
D) 9.42 m2
E) 4853.76 m2

Answer 15

A) 1.414 m2

Question 16

Find the volume in cubic centimetres of a cylinder having a radius of 3 cm and a height of 8 cm.
A) 233.3 cm3
B) 226.2 cm3
C) 56.55 cm3
D) 196.3 cm3
E) 245.2 cm3

Answer 16

B) 226.2cm3

Question 17

Convert 3 m, 2 cm, 4 mm to inches.
A) 123.278 in
B) 120.176 in
C) 100.788 in
D) 118.152 in
E) 119.098 in

Answer 17

E) 119.098 in

Question 18

What is the capacity in cubic metres of a rectangular tank 6 m long, 4 m wide and 2 m deep?
A) 48 m3
B) 12 m3
C) 24 m3
D) 8 m3
E) 18 m3

Answer 18

A) 48 m3

Question 19

A ____________ is a quarter of a circle, the angle between the radius lines being a right angle.
A) Perimeter
B) Quadrant
C) Circumference
D) Diameter
E) Radius

Answer 19

B) Quadrant

Question 20

Convert 1 m, 2 cm, 3 mm to inches.
A) 40.29 in
B) 19.98 in
C) 20.57 in
D) 83.28 in
E) 61.43 in

Answer 20

A) 40.29 in

Question 21

The distance from the centre to the circumference is called the:
A) Centre of the circle
B) Circumference
C) Perimeter
D) Radius
E) Diameter

Answer 21

D) Radius

Question 22

Find the volume in cubic meters of a cylindrical tank 10 m in diameter and 30 m long.
A) 942.48 m3
B) 235.62 m3
C) 2356.2 m3
D) 9424.8 m3
E) 7068.6 m3

Answer 22

C) 2356.2 m3

Question 23

Find the lateral surface area in square metres of a cylindrical tank that is 3 m in diameter and 12 m long.
A) 36 m2
B) 127.9 m2
C) 113.1 m2
D) 37.7 m2
E) 345.8 m2

Answer 23

C) 113.1 m2