Question
A sphere is melted and recast into 8 smaller spheres of
equal size. If the radius of the original sphere is 12 cm, find the radius of each smaller sphere.Solution
Volume of the original sphere = (4/3)πR³ = (4/3)π(12³) = (4/3)π(1728) = 2304π. Volume of each smaller sphere = 2304π / 8 = 288π. Let the radius of each smaller sphere be r. Volume = (4/3)πr³. (4/3)πr³ = 288π. r³ = 288 × (3/4) = 216. r = ³√216 = 6 cm. Correct option: a
More Mensuration Questions
Simplify: 3√50 − 2√8 + √18
Simplify: 72 − 18 ÷ 3 × 2 + 5 × 3
(144 ÷ 4)² × (72 ÷ 12)³ = 12 ×? × (25920 ÷10)
20 + 160/? × 20 = 420
10% of 100 + 14 = ?% of 120
25% of 30% of 3/5 of 14500 =?
What will come in place of the question mark (?) in the following questions?
What will come in the place of question mark (?) in the given expression?
75% of (√64 × 8 - 16) × ? = 15²
24 × ?2 – 11 × 4 = 1900
