Home > Surface Areas and Volumes > CBSE > 1c4cd3bb-4668-425b-9807-3b9e6d4746ec

Not the exact question you were looking for?

Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.

Surface Areas and Volumes

RD Sharma

CBSE

Grade 10

Question:

If the radius of a sphere is doubled, its volume becomes:
(a) $8$ times
(b) $4$ times
(c) $2$ times
(d) $16$ times

Step-by-Step Solution

Key Concept: $V' = \dfrac{4}{3} \pi (2r)^3 = 8 \times \dfrac{4}{3} \pi r^3 = 8 V$.

$V' = 8 V$. [1.0 Mark]

---
🎯 Official CBSE Marking Scheme:
Evaluating 8 times: 1.0 Mark

Correct Answer: $8$ times

Mathbee AI Mentor (Free Demo)

Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.