Surface Area of Cylinder

Solved Questions of Surface Area of Cylinder

1. Calculate the total surface area for a solid cylinder with a radius of 3 cm and a height of 10 cm.

a) 244.92 cm²
b) 243.29 cm²
c) 289.2 cm²
d) 298.9 cm²

Answer: a) 244.92 cm²

Explanation: We know the formula ,TSA = 2πr(h + r)
= 2π(3)(10 + 3)
= 2π(3)(13)
= 2(3.14)(3)(13)
= 6.28(39)
= 244.92 cm²

Therefore, the surface area of this solid cylinder is 244.92 cm².

2. Determine the curved surface area of the cylinder with a radius of 8 inches and a height of 15 inches.

a) 700.28 in²
b) 714.25 in²
c) 754.285 in²
d) 824.251 in²

Answer: c) 754.285 in²

Explanation: Given,
Radius = 8 inches and
The height of the cylinder = 15 inches.
We have,
The curved surface area of the cylinder = (2πrh) square units
= 2 × (22/7) × 8 × 15
= 754.285 in²

Hence, the curved surface area of the cylinder is 754.285 in².

3. Determine the curved surface area of a cylinder if its total surface area is 770 sq. in and its radius is 7 inches.

a) 280 in²
b) 320 in²
c) 462 in²
d) 510 in²

Answer: c) 462 in²

Explanation: Given,
Radius = 7 inches
Total Surface Area of the cylinder = 770 sq. in
We know that,
Total surface area of a cylinder = [2πr(h + r)] square units
770 = 2 × (22/7) × (7) × (7 + h)
2 × (22) × (7 + h) = 770
7 + h = 17.5
h = 10.5 inches

Now,
Curved surface area of cylinder = 2πrh square units
= 2 × (22/7) × (7) × (10.5)
= 2 × (22) × (10.5)
= 462 sq. in.

4. If the lateral surface of the cylinder is 500 cm² and its height is 10 cm, then find the radius of its base.

a) 6.25 cm
b) 7 cm
c) 7.96 cm
d) 8.23 cm

Answer: c) 7.96 cm

Explanation: The lateral surface area is A =2πrh. The curved surface area is A = 500 cm² and its height is 10 cm, hence
A = 2πrh
500 = 2 × 3.14 × r × 10
500 = 62.8r
r = 500/62.8
= 7.96

Therefore, the radius of the cylinder is 7.96 cm

5. Find the lateral surface area of a cylinder shown below.

a) 1800.02 ft²
b) 1820.12 ft²
c) 1878.6 ft²
d) 1908.22 ft²

Answer: c) 1878.6 ft²

Explanation: Lateral surface area = 2 × ?? × ?? × ?
= 2 × ?? × 13 × 23
= ?? × 598
= 1878.6 ft².

Practice Questions on Surface Area of the Cylinder

1. A cylinder has a radius of 5 cm and a height of 10 cm. What is its total surface area?

a) 150π cm²
b) 100π cm²
c) 314 cm²
d) 100 cm²

Answer: a) 150π cm²

2. A cylinder has a diameter of 8 cm and a height of 12 cm. What is its total surface area?

a) 376.99 cm²
b) 188.5 cm²
c) 402.12 cm²
d) 282.74 cm²

Answer: c) 402.12 cm²

3. A cylinder has a radius of 3 cm and a height of 5 cm. What is the lateral surface area of the cylinder?

a) 18π cm²
b) 30π cm²
c) 36π cm²
d) 42π cm²

Answer: b) 30π cm²

4. A cylinder has a radius of 3 cm and a height of 5 cm. What is the total surface area of the cylinder?

a) 48π cm²
b) 75π cm²
c) 94π cm²
d) 100π cm²

Answer: a) 48π cm²

5. Find the total surface area of a container in a cylindrical shape whose diameter is 28 cm and height is 15 cm.

a) 2198 cm²
b) 2552 cm²
c) 2987 cm²
d) 3012 cm²

Answer: b) 2552 cm²

6. Find the radius of the cylinder if its curved surface area is 550 cm² and its height is 14 cm.

a) 3 cm
b) 4.2 cm
c) 5.8 cm
d) 6.25 cm

Answer: d) 6.25 cm

7. Find the curved surface area of a cylinder of radius 5 cm and height 7 cm.

a) 220 cm²
b) 230 cm²
c) 240 cm²
d) 250 cm²

Answer: a) 220 cm²

8. Find the surface area of the cylinder below.

a) 190π mm²
b) 320π mm²
c) 580π mm²
d) 689π mm²

Answer: b) 320π mm²

9. Find the diameter of the base of a cylinder if the lateral surface area is 1364 cm² and the height is 31 cm.

a) 7 cm
b) 9 cm
c) 14 cm
d) 18 cm

Answer: c) 14 cm