Surface Areas and Volumes

1. A.
   $314\sqrt{2}\,\text{cm}^2$
2. B.
   $314\,\text{cm}^2$
3. C.
   $\dfrac{3140}{3}\,\text{cm}^2$
4. D.
   $3140\sqrt{2}\,\text{cm}^2$

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1. A.
   $\dfrac{\pi l^3}{12}$
2. B.
   $\dfrac{\pi l^3}{3}$
3. C.
   $l^3\left(1 - \dfrac{\pi}{3}\right)$
4. D.
   $\dfrac{\pi l^3}{8}$

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1. A.
   $11.78\,\text{m}^2$
2. B.
   $12.32\,\text{m}^2$
3. C.
   $11.82\,\text{m}^2$
4. D.
   $12.86\,\text{m}^2$

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1. A.
   $2\pi r^3$
2. B.
   $3\pi r^3$
3. C.
   $5\pi r^3$
4. D.
   $4\pi r^3$

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1. A.
   $3$
2. B.
   $3\sqrt{3}$
3. C.
   $3^{\frac{2}{3}}$
4. D.
   $3^{\frac{1}{3}}$

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1. A.
   $1 : 8$
2. B.
   $1 : 2$
3. C.
   $1 : 1$
4. D.
   $2 : 1$

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1. A.
   $3\pi d^2$
2. B.
   $2\pi d^2$
3. C.
   $\dfrac{1}{2}\pi d^2$
4. D.
   $\dfrac{3}{4}\pi d^2$

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1. A.
   $182\pi$
2. B.
   $\dfrac{182}{3}\pi$
3. C.
   $\dfrac{682}{3}\pi$
4. D.
   $\dfrac{364}{3}\pi$

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1. A.
   Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. B.
   Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
3. C.
   Assertion (A) is true, but Reason (R) is false.
4. D.
   Assertion (A) is false, but Reason (R) is true.

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1. A.
   $r$
2. B.
   $2r$
3. C.
   $3r$
4. D.
   $4r$

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1. A.
   $400$
2. B.
   $100$
3. C.
   $20$
4. D.
   $10$

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1. A.
   8 : 125
2. B.
   4 : 25
3. C.
   2 : 5
4. D.
   16 : 25

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1. A.
   1 : 1
2. B.
   1 : 3
3. C.
   2 : 1
4. D.
   3 : 1

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1. A.
   17 cm
2. B.
   18 cm
3. C.
   22 cm
4. D.
   23 cm

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1. A.
   Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. B.
   Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
3. C.
   Assertion (A) is true, but Reason (R) is false.
4. D.
   Assertion (A) is false, but Reason (R) is true.

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1. A.
   $6a^2$
2. B.
   $10a^2$
3. C.
   $5a^2$
4. D.
   $4a^2$

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1. A.
   $2\pi : 1$
2. B.
   $4\pi : 1$
3. C.
   $3\pi : 1$
4. D.
   $1 : 4\pi$

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1. A.
   $1 : 1$
2. B.
   $1 : 4$
3. C.
   $2 : 3$
4. D.
   $3 : 2$

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1. A.
   $\dfrac{4\pi}{3}$ cu cm
2. B.
   $\dfrac{5\pi}{3}$ cu cm
3. C.
   $\dfrac{8\pi}{3}$ cu cm
4. D.
   $\dfrac{2\pi}{3}$ cu cm

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1. A.
   Both Assertion (A) and Reason (R) are true. Reason (R) is the correct explanation of Assertion (A).
2. B.
   Both Assertion (A) and Reason (R) are true. Reason (R) does not give correct explanation of (A).
3. C.
   Assertion (A) is true but Reason (R) is not true.
4. D.
   Assertion (A) is not true but Reason (R) is true.

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1. A.
   $10.56\,\text{m}^2$
2. B.
   $13.52\,\text{m}^2$
3. C.
   $13.64\,\text{m}^2$
4. D.
   $14.08\,\text{m}^2$

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1. A.
   $\dfrac{5}{6}$ cm
2. B.
   $\dfrac{5}{3}$ cm
3. C.
   $\dfrac{5}{2}$ cm
4. D.
   5 cm

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1. A.
   $800\,\text{m}^3$
2. B.
   $4000\,\text{m}^3$
3. C.
   $8000\,\text{m}^3$
4. D.
   $2000\,\text{m}^3$

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1. A.
   2 cm
2. B.
   3 cm
3. C.
   2.9 cm
4. D.
   6 cm

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1. A.
   $3\pi d^2$
2. B.
   $2\pi d^2$
3. C.
   $\dfrac{1}{2}\pi d^2$
4. D.
   $\dfrac{3}{4}\pi d^2$

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1. A.
   $528\,\text{cm}^2$
2. B.
   $1056\,\text{cm}^2$
3. C.
   $550\,\text{cm}^2$
4. D.
   $500\,\text{cm}^2$

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1. A.
   $2496\,\text{cm}^3$
2. B.
   $1248\,\text{cm}^3$
3. C.
   $1664\,\text{cm}^3$
4. D.
   $416\,\text{cm}^3$

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