Solid sphere melted into smaller spheres: ratio of the original surface area to the total surface area of the balls
The same question, asked 2 times: 15 Nov 2020 Tier II*, 3 Feb 2022 Tier II. Every wording below, oldest first.
Try each one first, then open its answer.
Question 1
15 Nov 2020 Tier II
77A solid metallic sphere of radius 15 cm is melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the original sphere and the sum of the surface areas of all the balls?Tap an option to check your answer.
Question 2
3 Feb 2022 Tier II
55A solid metallic sphere of radius 4 cm is melted and recast into spheres of 2 cm each. What is the ratio of the surface area of the original sphere to the sum of surface areas of the spheres, so formed?Tap an option to check your answer.