Question

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

Answer 1

GIVEN:

• Curved surface area of cylinder = 88 cm²
• Height of the cylinder = 14 cm

TO FIND:

• What is the diameter of the cylinder ?

SOLUTION:

Let the radius of the cylinder be 'r' cm

To find the CSA of Cylinder, we use the formula:-

⠀⠀⠀ ❰ C.S.A. = 2πrh ❱

According to question:

On putting the given values in the formula, we get

➾ 88 = 2 $\times$ $\sf{\dfrac{22}{7}}$ $\times$ r $\times$ 14

➾ 88 = 2 $\times$ 22 $\times$ r $\times$ 2

➾ 88 = 88r

➾ $\sf{\cancel\dfrac{88}{88}}$ = r

❮ 1 cm = r ❯

◉ DIAMETER = 2R

◉ Diameter = 2 $\times$ 1

❮ DIAMETER = 2 cm ❯

❝ Hence, the diameter of the base of the cylinder is 2 cm ❞

______________________

Answer 2

Given ,

The curved surface area of a right circular cylinder of height 14 cm is 88 cm²

We know that , the curved surface area of cylinder is given by

CSA = 2πrh

Thus ,

88 = 2 × 22/7 × r × 14

88 = 44 × 2 × e

2 = 2 × r

r = 2/2

r = 1 cm

Therefore ,

The radius of base of cylinder is 1 cm

Since , Diameter = 2 × radius

Thus ,

Diameter = 2 × 1

Diameter = 2 cm

$\sf \therefore \underline{The \: diameter \: of \: base \: of \: cylinder \: is \: 2 \: cm}$