Circumference of base of a cylinder is 132cm and it's height is 2m . find the area of curved surface.
Answers
Volume of a cylinder=πr2h=722×(21)2×25=722×21×21×25=34,650cm3.
Given:
✰ Circumference of base of a cylinder = 132 cm
✰ Height of a cylinder = 2 m = 200 cm
To find:
✠ The curved surface area of a cylinder.
Solution:
Let's understand the concept first! As we are provided with the circumference of the base of a cylinder, so first we will find out the radius by using its formula and after that we will use the formula of curved surface area of cylinder to find out it's the required area of curved surface. Putting the values in the formula and then doing the required calculations.
Let's find out...✧
✭ Circumference = 2πr ✭
Where,
- r is the radius of a cylinder.
Putting the values in the formula, we have:
➛ 132 = 2 × 22/7 × r
➛ 132 = 44/7 × r
➛ r = 132 × 7/44
➛ r = 3 × 7
➛ r = 21 cm
∴ The radius of a cylinder = 21 cm
Then,
✭ Curved surface area = 2πrh ✭
Where,
- r is the radius of a cylinder.
- h is the height of a cylinder.
Putting the values in the formula, we have:
➤ Curved surface area = 2 × 22/7 × 21 × 200
➤ Curved surface area = 2 × 22 × 3 × 200
➤ Curved surface area = 2 × 22 × 600
➤ Curved surface area = 44 × 600
➤ Curved surface area = 26400 cm²
∴ The curved surface area of a cylinder = 26400 cm²
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