Question : The volume of a sphere is given by 130977 cm3. Its surface area (in cm2) is:
Option 1: 16847
Option 2: 12474
Option 3: 17424
Option 4: 14274
Correct Answer: 12474
Solution : Volume of a sphere = $(\frac{4}{3}) × \pi r^3$, where $r$ is the radius of the sphere. ⇒ $(\frac{4}{3}) × (\frac{22}{7}) × r^3 = 130977$ ⇒ $r^3 = \frac{(130977 × 7 × 3)}{ (4 × 22)}$ ⇒ $r = \sqrt[3]{\frac{3×3×3×3×3×3×7×7×7×11}{2 × 2 × 2×11}}$ $\therefore r = \frac{63}{2}$ So, the surface area of the sphere $=4 \pi r^2 = 4 × (\frac{22}{7}) × (\frac{63}{2}) × (\frac{63}{2})=$ 12474 cm2 Hence, the correct answer is 12474.
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Question : The total surface area of a right circular cylinder is 1848 cm2. The ratio of its total surface area to the curved surface area is 3 : 1. The volume of the cylinder is: (Take $\pi=\frac{22}{7}$)
Option 1: 4312 cm3
Option 2: 3696 cm3
Option 3: 4002 cm3
Option 4: 4851 cm3
Question : If the area of the base of a cone is 154 cm2 and the area of its curved surface is 550 cm2, then its volume is:
Option 1: 1232 cm3
Option 2: 1122 cm3
Option 3: 1434 cm3
Option 4: 1535 cm3
Question : The lateral surface area of a cylinder is 1056 cm2 and its height is 16 cm. Find its volume.
Option 1: 4545 cm3
Option 2: 4455 cm3
Option 3: 5445 cm3
Option 4: 5544 cm3
Question : If the volume of a sphere is 4851 cm3, then its surface area (in cm2)is: $\left(\right.$Take $\pi=\frac{22}{7})$
Option 1: 1427
Option 2: 1386
Option 3: 1399
Option 4: 1268
Question : What is the volume of a cube whose surface area is 54 cm2?
Option 1: 28 cm3
Option 2: 3 cm3
Option 3: 27 cm3
Option 4: 9 cm3
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