Question

the curved surface area of a right circular cylinder of height 14 cm is the diameter of the base of a cylinder

Answer 1

Answer:

Step-by-step explanation:

Height (h) of cylinder = 14cm

Let the diameter of cylinder be d.

Curved Surface Area of Cylinder = 88cm square

2πrh = 88 cm square

π dh = 88 cm square. (d = 2r)

22/7 × d × 14 = 88 cm

d = 2 cm

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

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Answer 2

★ Correct Question:

The curved surface area of a right circular cylinder of height 14 cm is 88 cm². Find the diameter of the base of a cylinder.

★ AnSwer:

• The diameter of the base of a cylinder is 2cm.

★ Step-by-step explanation:

• Height = 14cm.

Let the radius be r and diameter be d.

As we know,

$\implies$ Curved Surface area = 88 cm²

$\implies$ 2πrh = 88 cm²

$\implies$ 2 × 22/7 × r × 14 = 88 cm²

$\implies$ r = 88 × 7 / 2 × 22 × 14

$\implies$ r = 616/616

$\implies$ r = 1cm

We know, radius is double of it's diameter.

So,

$\implies$ Diameter = 2 × radius

$\implies$ Diameter = 2 × 1

$\implies$ Diameter = 2 cm.

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

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