What is difference in the volume (in cm3) of a sphere of radius 7 cm and that of a cone of radius 7 cm and height 10 cm? (Use π =22/7)
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Correct answer: D
Explanation
The correct answer is option 4 i.e. 924.
The volume of a sphere = (4/3) × (22/7) × radius3
The volume of a cone = (1/3) × (22/7) × radius2 × height
Here, the radius for both = 7
The difference in their volume = {(4/3) × (22/7) × radius3} - {(1/3) × (22/7) × radius2 × height}
⇒ {(4/3) × (22/7) × 343} - {(1/3) × (22/7) × 49 × 10}
Taking {22 × 49/7 × 3} common, we get
⇒ {22 × 49/7 × 3}{4 × 7 -10} = {(22 ×7)/3}{18} = 154 × 6 = 924