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प्रश्न
There is surface area and volume of a sphere equal, find the radius of sphere.
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उत्तर
Let the radius of sphere = r
∵ Volume of sphere = Surface area of sphere
`4/3` πr3 = 4 πr2
⇒ r3 = `(4 πr^2 xx 3)/4π`
⇒ r3 = 3r2
⇒ r = 3 cm
Hence, the radius of sphere = 3 cm.
संबंधित प्रश्न
The surface area of a solid metallic sphere is 2464 cm2. It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate:
- the radius of the sphere.
- the number of cones recast. (Take π = `22/7`)
Find the surface area of a sphere of radius 10.5 cm.
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The height of the solid cylinder is 7 cm, radius of each of hemisphere, cone and cylinder is 3 cm. Height of cone is 3 cm.
Give your answer correct to the nearest whole number.Taken`pi = 22/7`.
Find the surface area and volume of sphere of the following radius. (π = 3.14)
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The surface area of a solid metallic sphere is 2464 cm2. It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate : the number of cones recast. `("Take" pi =22/7)`
