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The edge of a cube is equal to the radiu...

The edge of a cube is equal to the radius of a sphere. If the edge and the radius increase at the same rate, then the ratio of the increases in surface areas of the cube and sphere is

A

`2pi : 3`

B

`3 : 2pi`

C

`6 : pi`

D

none of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The edge of a cube is equal to the radius o the sphere. If the rate at which the volume of the cube is increasing is equal to lambda , then the rate of increase of volume of the sphere, is

    A
    `(4pi lambda)/(3)`
    B
    `4pi lambda`
    C
    `(lambda)/(3)`
    D
    none of these

  • Each edge of a cube is increased by 20% then the percentage increase in surface area of the cube is :

    A
    `144%`
    B
    `40%`
    C
    `44%`
    D
    `72.8%`

  • A sphere and a hemisphere have the same radius. Then the ratio of their respective total surface areas is

    A
    `2:1`
    B
    `1:2`
    C
    `4:3`
    D
    `3:4`

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