The cost of painting the outer curved surface of a cylinder at rs.1.50 per cm square is rs.660, if the height of the cylinder is 0.1 m find the radius of its base.
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5
Answer:
r = 35cm
Step-by-step explanation:
the curved surface area of the cylinder = 660/1.50 = 440cm^2
2pieRH = 440
2 * 22/7 * r * 2 = 440
88/7 * r = 440
r = 440 * 7/88
r = 5 * 7
r = 35cm
Answered by
8
The cost of painting the outer curved surface of a cylinder at Rs 1.50 per cm² is Rs. 660. if the height of the cylinder is 0.1 m.
We have to find the radius of its base.
curved surface area of cylinder = total cost/cost rate of painting
= (660Rs)/(1.5Rs/cm²)
= 440 cm²
let radius of its base is R.
height of cylinder , h = 0.1 m = 10 cm
formula of curved surface area of cylinder = 2πRh
⇒ 440 cm² = 2 × 22/7 × R × 10
⇒440 = 44/7 × R × 10
⇒70 = R × 10
⇒R = 7 cm
Therefore the radius of base of cylinder is 7 cm.
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