Question

The lateral surface area of a cylinder is 94.2 cm² and its height is 5 cm .[Take π = 3.14]
Find :

(i) the radius of its base
(ii) its volume

#Easy Peasy! ​

Answer 1

Answer:

1. the radius of its base = 3 cm, 2. volume = 1413

Step-by-step explanation:

1. lateral surface area = 94.2

94.2 = 2×3.14×r×5= 3

2. volume = 3.14×3×3×5= 1413

Answer 2

Answer:

• (i) Radius of its base is 3 cm
• (ii) Its volume is 143.3 cm³

Step-by-step explanation:

According to the Question

It is given that,

• LSA of Cylinder=94.2cm²
• Height ,h = 5 cm

we have to calculate the radius of its base and its volume .

(i) its radius of its base

As we know

• LSA of Cylinder = 2πrh

On substituting the value we get

→ 94.2 = 2 × 3.14 × r × 5

→ 94.2 = 6.28 × r × 5

→ 94.2 = 31.4 × r

→ r = 94.2/31.4

→ r = 3 cm

• Hence, the radius of its base is 3 cm

(ii) its volume

As we know

• Volume of Cylinder = πr²h

On substituting the value we get

→ Volume of Cylinder = 3.14 × 3² × 5

→ Volume of Cylinder = 3.14 × 9 × 5

→ Volume of Cylinder = 3.14 × 45

→ Volume of Cylinder = 143.3 cm³

• Hence, the volume of cylinder is 143.3 cm³