The height of a right circular cylinder is 10.5 m. Three times the sum of the areas of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder.
Answers
Given : Height of right circular cylinder = 10.5 m
3(area of both circular faces) = 2(curved surface area of cylinder)
3 × 2 πr² = 2 × 2πrh
6πr² = 4πrh
3r = 2h
r = ⅔ h
r = ⅔ × 10.5
r = 2 × 3.5
r = 7 cm
Now, volume of cylinder , V = πr²h
V = 22/7 × 7 × 7 × 10.5
V = 22 × 7 × 10.5
V = 154 × 10.5
V = 1617 m³
Hence, the volume of the cylinder is 1617 m³
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Answer:
Step-by-step explanation:
3 × 2 πr² = 2 × 2πrh
6πr² = 4πrh
3r = 2h
r = ⅔ h
r = ⅔ × 10.5
r = 2 × 3.5
r = 7 cm
Now, volume of cylinder , V = πr²h
V = 22/7 × 7 × 7 × 10.5
V = 22 × 7 × 10.5
V = 154 × 10.5
V = 1617 m³