Question

the curved surface area of a right circular cylinder of height 14cm is 88cm^2.find the diameter of a cylinder ​

Answer 1

Answer:

Diameter of the cylinder is 2 cm.

Step-by-step explanation:

Given :-

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

To find :-

• The diameter of the cylinder.

Solution :-

Let the radius of the cylinder be r cm.

Then,

• Diameter of the cylinder = 2r cm.

Formula used :

${\boxed{\sf{CSA\:of\: cylinder=2\pi\:rh}}}$

According to the question,

2πrh = 88

→ 2 × (22/7) × r × 14 = 88

→ 2×22×r×2 = 88

→ 88r = 88

→ r = 88/88

→ r= 1

• Radius of the cylinder = 1 cm

Then,

• Diameter of the cylinder = 2×1 = 2 cm

_____________

Additional information :

• Volume of cylinder = πr²h
• T.S.A of cylinder = 2πrh + 2πr²
• Volume of cone = ⅓ πr²h
• C.S.A of cone = πrl
• T.S.A of cone = πrl + πr²
• Volume of cuboid = l × b × h
• C.S.A of cuboid = 2(l + b)h
• T.S.A of cuboid = 2(lb + bh + lh)
• C.S.A of cube = 4a²
• T.S.A of cube = 6a²
• Volume of cube = a³
• Volume of sphere = (4/3)πr³
• Surface area of sphere = 4πr²
• Volume of hemisphere = ⅔ πr³
• C.S.A of hemisphere = 2πr²
• T.S.A of hemisphere = 3πr²

Answer 2

Given ,

The curved surface area of cylinder is 88 cm² and its height is 14 cm

We know that , the CSA of cylinder is given by

$\boxed{ \tt{CSA = 2\pi rh }}$

Thus ,

88 = 2 × 22/7 × r × 14

88 = 44 × r × 2

88 = 88 × r

r = 1 cm

Since , radius = 2 × Diameter

Diameter = 2 × 1

Diameter = 2 cm

Hence , the diameter of a cylinder is 2 cm