Question

A right circular cylinder just encloses a sphere of radius 10cm. Find the surface area of cylinder. ​

Answer 1

Step-by-step explanation:

Question:

A right circular cylinder just encloses a sphere of radius 10cm.

Find surface area of the sphere.

Curved surface area of cylinder.

Given:

Radius of both = 10 cm.

To Find:

Surface area of the sphere.

Curved surface area of cylinder.

Solution:

1. Surface area of sphere = {4 \pi r}^{2}=4πr

2

→ 4 \times \frac{22}{7} \times {10}^{2}4×

7

22

×10

2

→ 4 \times \frac{22}{7} \times 10 \times 104×

7

22

×10×10

→ \frac{88}{7} \times 10 \times 10

7

88

×10×10

→ \frac{8800}{7}

7

8800

→ \boxed{1256.64 \: cm}

1256.64cm

2. Curved surface area of cylinder = 2πrh

→ 2 × 22/7 × 10^2 {height of cylinder is radius of circle}

→ 44/7 × 10 × 10

→ 4400/7

→ 628.58 cm