Six times of the volume of a sphere is 29106 cm3. What will be the ten times…

2021

Six times of the volume of a sphere is 29106 cm3. What will be the ten times of the radius of the sphere?

Answer: D. 105 cmTo find the ten times of the radius of the sphere, we first need to determine the radius itself using the given information. Step-by-Step Calculation Use the…

  1. A.

    140 cm

  2. B.

    70 cm

  3. C.

    55 cm

  4. D.

    105 cm

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Show answer & explanation

Correct answer: D

To find the ten times of the radius of the sphere, we first need to determine the radius itself using the given information.

Step-by-Step Calculation
Use the given volume information:
We are told that six times the volume of a sphere is 29,106 cubic centimetres.
6 * V = 29,106
V = 29,106 / 6
V = 4,851 cubic centimetres

Calculate the radius (r):
The formula for the volume of a sphere is V = (4/3) * π * r³.
Using π = 22/7:
4,851 = (4/3) * (22/7) * r³
4,851 = (88 / 21) * r³
r³ = (4,851 * 21) / 88
r³ = 101,871 / 88
r³ ≈ 1,157.6
(Note: Based on standard sphere volume problems of this type, if V = 4851, r is typically 10.5 cm. Let's verify: 4/3 * 22/7 * 10.5³ = 4851. Yes, that is correct.)
r = 10.5 cm

Find ten times the radius:
10 * r = 10 * 10.5
10 * r = 105 cm

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