The curved surface area of a right circular cylinder of height 28 cm is 176 cm2 , find the diameter of the base of the cylinder.
Answers
✬ Radius = 14 cm ✬
Step-by-step explanation:
Given:
Curved surface area of right circular cylinder is 176 cm².
Measure of height of cylinder is 2 cm
To Find:
What is the measure of radius of base ?
Solution: Let r be the radius of cylinder.
As we know that
★ CSA of Cylinder = 2πrh ★
A/q
CSA = 176 cm²
⟹ 176 = 2πrh
\implies{\rm }⟹ 176 = 2(22/7)(r)(2)
\implies{\rm }⟹ 176 = 44/7(2r)
\implies{\rm }⟹ 176 = 88r/7
\implies{\rm }⟹ 176 \times× 7 = 88r
\implies{\rm }⟹ 1232 = 88r
\implies{\rm }⟹ 1232/88 = r
\implies{\rm }⟹ 14 = r
Hence, measure or radius of base of cylinder is 14 cm.
Given,
- The curved surface area of the right circular cylinder = 176 cm²
- Height of the cylinder = 28 cm
To find
- We have to find the diameter of the base of the cylinder.
Solution,
We can simply find the diameter of the base of the cylinder by using the following formula:
The curved surface area of the cylinder = 2πrh
The curved surface area of the right circular cylinder = 176 cm²
Height of the cylinder = 28 cm
176 = 2 * 22/7 * r * 28
176 = 8 * 22 * r
176/22 = r
8 cm = radius
As we know,
Diameter = 2 * radius
Diameter of the base of cylinder = 2 * 8
= 16 cm
Hence, the curved surface area of a right circular cylinder of height 28 cm is 176 cm², then the diameter of the base of the cylinder is 16 cm.