A hemisphere of radius 4 cm is cut from a solid sphere of radius 4 cm. What is the remaining volume of the sphere? (Use 3.14) Option 1: 268.19 cm³ Option 2: 134.05 cm³ Option 3: 67.025 cm³ Option 4: 536.2 cm³

Answer: 134.05 cm³. Solution: A hemisphere of the same radius is exactly half the sphere, so the remaining solid is the other half. Sphere volume = 4/3 r^3 = 4/3(4)^3 = (256)/3. Remaining = (128)/3 134 cm³. Note: With = 3.14 the value is about 133.97 cm³; option 2 corresponds to = 22/7, and we have taken it as the intended answer.

Geometry

Solids

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A hemisphere of radius 4 cm is cut from a solid sphere of radius 4 cm. What is the remaining volume of the sphere? (Use $\pi \approx 3.14$ )

268.19 cm³

134.05 cm³

67.025 cm³

536.2 cm³

✅ Correct Option: 2

A hemisphere of the same radius is exactly half the sphere, so the remaining solid is the other half.

Sphere volume $= \frac{4}{3}\pi r^3 = \frac{4}{3}\pi(4)^3 = \frac{256\pi}{3}$ .

Remaining $= \frac{128\pi}{3} \approx 134$ cm³.

Note: With $\pi = 3.14$ the value is about $133.97$ cm³; option 2 corresponds to $\pi = 22/7$ , and we have taken it as the intended answer.

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A hemisphere of radius 4 cm is cut from a solid sphere of radius 4 cm. What is the remaining volume of the sphere? (Use π≈3.14\pi \approx 3.14π≈3.14)

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CUET General Test Past Year Questions (Topic-Wise)

A hemisphere of radius 4 cm is cut from a solid sphere of radius 4 cm. What is the remaining volume of the sphere? (Use $\pi \approx 3.14$ )