Math, asked by amritlalahirwar12345, 5 months ago

The base area of a right circular cylinder is 16π square cm. Its height is 5 cm. Its curved surface area is​

Answers

Answered by ImperialGladiator
32

Answer:

Surface area of the cylinder is 125.6cm²✔

Step-by-step explanation:

Given that,

A right angle cylinder having a base area of 16πcm² and a height of 5cm.

Here, base area and the height is given we need to find the surface area of the cylinder.

Step 1 :

Finding the radius of the cylinder :

  • Base area refers to the circle at the bottom of the cylinder.

Base area of a cylinder is given by : πr²

  • Base area is 16πcm² (given)
  • r = radius
  • Taking π as 22/7

From the given values :

Base area = πr²

→ 16π = πr²

→ 16π/π = r²

→ 16 = r²

→ √16 = r

→ r = 4cm.

Therefore we for the radius as 4cm.

Step 2 :

Finding the surface area of the cylinder :

Surface area of a cylinder is given by : 2πrh

  • r (radius) = 4cm.
  • π = 3.14
  • h = 5cm (given)

From the given values :

→ Surface area of the cylinder :

→ 2 • 3.14 • 4 • 5

→ 125.6cm²

Therefore, surface area of the cylinder is 125.6cm²

Answered by Akshat22J
2

Answer:

Surface area of the cylinder is 125.6cm²✔

Step-by-step explanation:

Given that,

A right angle cylinder having a base area of 16πcm² and a height of 5cm.

Here, base area and the height is given we need to find the surface area of the cylinder.

Step 1 :

Finding the radius of the cylinder :

Base area refers to the circle at the bottom of the cylinder.

Base area of a cylinder is given by : πr²

Base area is 16πcm² (given)

r = radius

Taking π as 22/7

From the given values :

→ Base area = πr²

→ 16π = πr²

→ 16π/π = r²

→ 16 = r²

→ √16 = r

→ r = 4cm.

Therefore we for the radius as 4cm.

Step 2 :

Finding the surface area of the cylinder :

Surface area of a cylinder is given by : 2πrh

r (radius) = 4cm.

π = 3.14

h = 5cm (given)

From the given values :

→ Surface area of the cylinder :

→ 2 • 3.14 • 4 • 5

→ 125.6cm²

Therefore, surface area of the cylinder is 125.6cm² ✔

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