2014 · Q37
Consider the following statements in respect of four spheres A, B, C and D having respective radii 6, 8, 10 and 12 cm:
- 1The surface area of sphere C is equal to the sum of surface areas of spheres A and B.
- 2The volume of sphere D is equal to the sum of volumes of spheres A, B and C.
Which of the above statements is/are correct?
Elementary MathematicsMensuration
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
4π(36 + 64) = 4π·100 (statement 1) and (4/3)π(216 + 512 + 1000) = (4/3)π·1728 (statement 2) both hold.