Question
A solid cylinder has total surface area of 1848 sq.cm.
Curved surface area is 1/3rd of its total surface area. The volume of the cylinder is:Solution
Curved surface area = 1/3 × Total surface area 2πrh = 1/3 × 2πr(h + r) 3h = h + r 2h = r Total surface area ⇒ 2πr (h + r) = 1848 2 × 22/7 × 2h (h + 2h) = 1848 h (h+2h) = 147 h² + 2h² = 147 3h² = 147 h² = 49 h = 7 R = 14 Volume of cylinder = πr²h ⇒ 22/7 × 14 × 14 × 7 ⇒ 4312 cm³
More Mensuration Questions
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
Direction: Solve the following expression and calculate the approximate value.
(5.78 + 3.12)² + 8.2² + 2 × 8.1 × (5.9 + 3.2)
...(44.11/4.01) + (11.99/3.03) + 23.9% of 49.978 = ?3.03
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exactvalue.)
181.87 ÷ 13.89 X 8.13 + ? = 11.852Â
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
(14.98% of 319.99) - 7.998 = √?
√483.98 + 120.02 of 119.89 ÷ 59.87 of 29.87 = ?
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