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If the volume of a sphere is numerically equal to its surface area then its diameter is:
If the volume of a sphere is numerically equal to its surface area then its diameter is:
1). 4 cm
2). 2 cm
3). 3 cm
4). 6 cm
1). 4 cm
2). 2 cm
3). 3 cm
4). 6 cm
This Question has 1 answers.
Let ‘r’ be the radius of the sphere.
\n\nVolume of the sphere = 4π r3/3 ……..eq(1)
\n\nSurface area of the sphere = 4π r2 ……..eq(2)
\n\nAs per sum, (1) = (2)
\n\n4π r3/3 = 4π r2
\n\n⇒ r = 3 cm
\n∴ The diameter = 2 × r = 2 × 3 = 6 cm.Similar Questions
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