Question

9. The C.S.A of a right circular cylinder of height 14 cm is 88 cm find the diameter of the base of the cylinder​

Answer 1

Given :

Curved Surface Area of a Cylinder = 88cm²

Height of a cylinder = 14cm

Find :

The diameter of the base of the cylinder = ?

According to the question :

Curved surface area of a cylinder = 88cm²

2πrh = 88cm²

2 × $\frac{22}{7}$ × r × 14 = 88cm²

2 × 44r = 88cm²

88r = 88cm²

r = $\frac{88}{88}$ = 1

So, diameter = 2r

= 2 × 1cm²

= 2 cm²

So, the diameter of the base of the cylinder is 2cm².

More to know -

• Curved surface area of cylinder = 2πrh
• Total surface area of cylinder = 2πr (h+r)
• Volume of cylinder = πr²h

Answer 2

Answer:

Curved surface area of cylinder = 88 cm2

⇒ 2πrh = 88 cm2 (r is the radius of the base of the cylinder)

⇒ πdh = 88 cm2 (d = 2r)

⇒ 22/7 x d x 14cm = 88 cm2

⇒ d = 2cm

Therefore, the diameter of the base of the cylinder is 2 cm.