Question

Question !!

The curved surface area of a right circular cylinder of height 14 cm is 88 sq.cm. Find the diameter of the base of the cylinder.

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Answer 1

Answer :

• Diameter of base of cylinder is 2 cm.

Given :-

• The curved surface area of a right circular cylinder of height 14 cm is 88 sq.cm.

To Find :-

• Find the diameter of the base of the cylinder ?

Solution :-

• Let the diameter of the base of the cylinder be x.

• Using formula

• C.S.A of cylinder = 2πrh

Where,

• π = Pi
• r = radius of base of cylinder
• h = height of cylinder

We have,

• π = 22/7
• r = ?
• h = 14 cm
• C.S.A of cylinder = 88 sq.cm

• Putting all values,

➻ 88 = 2 × 22/7 × r × 14

➻ 88 = 2 × 22 × r × 2

➻ 88 = 2 × 22 × 2 × r

➻ 88 = 44 × 2 × r

➻ 88 = 88 × r

➻ 88 = 88r

➻ r = 88/88

➻ r = 1/1

➻ r = 1

• Hence, radius of base of right circular cylinder is 1 cm.

We know that,

• Diameter = Radius × 2

• Putting all values in formula,

➻ Diameter = r × 2

➻ Diameter = 1 × 2

➻ Diameter = 2 cm

• Hence, diameter of base of right circular cylinder is 2 cm.

Verification :-

• C.S.A of cylinder = 2πrh

• Putting all values,

➻ 88 = 2 × 22/7 × r × 14

➻ 88 = 2 × 22 × 1 × 2

➻ 88 = 2 × 22 × 2

➻ 88 = 44 × 2

➻ 88 = 88

➻ LHS = RHS

• Hence, verified.

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Answer 2

use the above attachment

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