Question : The volume of the largest sphere (in cm3) that can be drawn inside a cube of side 18 cm is:
Option 1: 972$\pi$
Option 2: 1166$\pi$
Option 3: 36$\pi$
Option 4: 288$\pi$
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Correct Answer: 972$\pi$
Solution : Diameter of the sphere = Side of cube = 18 cm So, radius of the sphere = $\frac{18}{2} = 9$ cm Volume of sphere = $\frac{4}{3}\pi r^3$ = $\frac{4}{3}×\pi×9×9×9$ = $972\pi$ cm3 Hence, the correct answer is 972$\pi$.
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Question : The surface area of a sphere is 616 cm2. The volume of the sphere would be:
Option 1: $1437\frac{1}{3}$ cm3
Option 2: $2100$ cm3
Option 3: $2500$ cm3
Option 4: $1225\frac{3}{5}$ cm3
Question : Find the volume of the largest possible sphere circumscribed by a cube of edge 7 cm.
Option 1: 179.67 cm3
Option 2: 169.67 cm3
Option 3: 189.67 cm3
Option 4: 199.67 cm3
Question : The value of Avogadro number is
Option 1: 6.023 X 1022
Option 2: 6.023 X 1023
Option 3: 6.023 X 1024
Option 4: 6.023 X 1025
Question : If the total surface area of a cube is 96 cm2, its volume is:
Option 1: 56 cm3
Option 2: 16 cm3
Option 3: 64 cm3
Option 4: 36 cm3
Question : Find the volume of a solid sphere whose diameter is 42 cm. (Use $\pi=\frac{22}{7}$)
Option 1: 38807 cm3
Option 2: 38808 cm3
Option 3: 38806 cm3
Option 4: 38805 cm3
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