Question
The radius and the height of a right circular cone are
in the ratio 3 : 4. If its volume is 301.44 m³, find the slant height (use π = 3.14).Solution
Let the radius of the cone be 3x cm and the height 4x cm, then. Volume of cone = 1/3 πr²h ATQ- 1/3 π (3x)2 (4x) = 301.44 1/3×3.14×36x³ =301.44 37.68 x³ =301.44 x³ = 8 x = 2 Thus, the radius of the cone is 6 cm, and the height 8 cm. Now, slant height of cone = (6)² + (8)² = 10 cm.
More Previous year papers Questions
- Determine the final value of this expression:
(1/5) of {5⁴ - 24 × 14 + 12 × 18 - 10.5 of 10²} 3% of 842 ÷ 2% of 421 = ?
√225 + 27 × 10 + ? = 320
- Determine the value of ‘p’ if p = √529 + √1444
45 % of 180 + √144 * 8 = ?2 + 70 % of 80
Determine the value of 'p' in following expression:
720 ÷ 9 + 640 ÷ 16 - p = √121 X 5 + 6²- 7?2 = √20.25 × 10 + √16 + 32
- What will come in place of the question mark (?) in the following questions?
(2⁴ + 6²) ÷ 2 = ? 18(1/3) + 9(2/3) – 10(1/3) = 1(2/3) + ?
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