The radius and height of a right circular cone are in the ratio 3: 4. If its curved surface area (in cm²) is 240 π, then its volume (in cm³) is:
Curved surface area of cone = π r l Volume of cone = (1/3) π r2 h Slant height = √(h2 + r2) Let the radius and height of the cone be 3x and 4x Slant height = √[(4x)2 + (3x)2 ] ⇒ √(16x2 + 9x2 ) ⇒ √25x ⇒ 5x Curved suface area = π × 3x × 5x2 ⇒ 240 π = π × 15x ⇒ x2 = 16 ⇒ x = 4 Radius = 12 cm Height = 16 cm Slant height = 20 cm Volume of the cone = (1/3) × π × 144 × 16 ⇒ 48 × 16 × π ⇒ 768 π
157.78% of 4820 + 92.33% of 2840 = ? + 115.55% of 1980
(23.99)2– (17.99)2+ (1378.88 + 44.88) ÷ ? = 607.998
(8.86)² × (15.01)² ÷ √624.99 = 9?
√31684.11 × √728.9 – (19.02)2 = ? × 4.99
(7.013 – 20.04) = ? + 7.98% of 5399.98
?% of (144.31 ÷ 17.97 × 60.011) = 239.98
(2310.23 ÷ 32.98) + (1008.32 ÷ 23.9) + 1594.11 = ?
12.5% of 6400 + (17 × 25) = ?% of 2200+ 125
(64.99% of 599.91 + 49.99% of 199.99 + 135.11) = ?2
(22.03 + 89.98) ÷ 14.211 = 89.9 – 25.23% of ?