The curved surface area of a right cylinder is 3696 cm³. Its height is three times its radius. What is the capacity (in litres) of the cylinder? (Take π = 22/7)
Let the radius of the cylinder be ‘r’ and the height of the cylinder be ‘h’. Curved surface area of cylinder = 2πrh ⇒ 2πrh = 3696 ⇒ 2πr × 3r = 3696 (h = 3r) ⇒ r^2 = (3696 × 7)/(22 × 6) ⇒ r^2 = 196 ⇒ r = 14 cm ⇒ h = 3r = 3 × 14 = 42 cm Volume of cylinder = πr^2h ⇒ (22/7) × 14 × 14 × 42 ⇒ 25872 cm We know, 1 cm = 0.001 litre ⇒ 25872 × 0.001 ⇒ 25.872 litres
Find the unknown value of' x' in the proportion $$(5x + 1) : 3 = (x + 3) : 7
(√1296 – 12) × 5 = ? + 40
7/3 of 4/5 of 15/56 of ? = 83
323 × 15 + (?)² = 4989
24% of 15% of 500 + 122 = ?2 – (232 ÷ 2)
15 × 35 ÷7 + 60% of 300 =?
464 + 181 +? = (154 × 25) - (15) 2
(8 x 9) ÷ 5 + ?2 = 23.4
27% of 250 – 0.02% of 1000 is equal to:
Find the simplified value of the given expression