Question

f the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, then find its volume.

(Use π = 3.14)​

Answer 1

Correct Question:

Find the radius whose lateral surface of a cylinder is 94.2 cm² and height is 5 cm, then also find its volume. (Use π = 3.14)​

Given:

A cylinder with

• Lateral Surface = 94.2 cm²
• Height = 5 cm

What To Find:

We have to find the

• Radius
• Volume

Formula Used:

• Lateral surface area = 2πrh
• Volume = πr²h

Solution:

• Finding the radius

Using the formula,

⇒ Lateral surface area = 2πrh

Substitute the values,

⇒ 94.2 cm² = 2 × 3.14 × r × 5

Multiply the numbers in RHS,

⇒ 94.2 cm² = 31.4 × r

Take 31.4 to LHS,

⇒ $\dfrac{94.2}{31.4}$ = r

Divide 94.2 by 31.4

⇒ 3 cm = r (radius)

• Finding the volume

Using the formula,

⇒ Volume = πr²h

Substitute the values,

⇒ Volume = 3.14 × 3 × 3 × 5

Multiply the numbers,

⇒ Volume = 141.3 cm³

Answer 2

Answer:

141.3cm cube is the right answer

Step-by-step explanation:

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