SarkariPYQ

SSC CPO 2023 PYQ — Question 129

SSC CPO - 04 Oct 2023 - Shift 1 • Quantitative Aptitude • Q129

Back to paper

Find the total surface area of a sphere whose volume is 2563πcm3\frac{256}{3}\pi {cm^3}

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 64π cm264\pi \space{cm^2}

Given that

The volume is 2563πcm3\frac{256}{3}\pi {cm^3}

The volume of sphere V = 4/3 π r³

The total surface area of a sphere = 4πr²

⇒ V = 4/3 π r³

⇒ 2563π\frac{256}{3}\pi = 4/3 × π × r3

⇒ r3 = 64

⇒ r = 4 cm

Now, TSA = 4πr² = 4π × 4² = 64π cm2