Math, asked by bindu5147, 11 months ago

surface area of sphere and cube or equal then find the ratio of their volume​

Answers

Answered by Anonymous
0

Step-by-step explanation:

The surface areas of a sphere and cube are equal. Prove that their volumes are in the ratio 1:π/6 . Let the radius of the sphere be r and side of cube be a. Hence, the required ratio is 1:6π

Answered by Anonymous
3

Answer:

ᴛʜᴇ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀs ᴏғ ᴀ sᴘʜᴇʀᴇ ᴀɴᴅ ᴄᴜʙᴇ ᴀʀᴇ ᴇϙᴜᴀʟ.

ᴘʀᴏᴠᴇ ᴛʜᴀᴛ ᴛʜᴇɪʀ ᴠᴏʟᴜᴍᴇs ᴀʀᴇ ɪɴ ᴛʜᴇ ʀᴀᴛɪᴏ 1:π/6 .

ʟᴇᴛ ᴛʜᴇ ʀᴀᴅɪᴜs ᴏғ ᴛʜᴇ sᴘʜᴇʀᴇ ʙᴇ ʀ

ᴀɴᴅ

sɪᴅᴇ ᴏғ ᴄᴜʙᴇ ʙᴇ ᴀ.

ʜᴇɴᴄᴇ, ᴛʜᴇ ʀᴇϙᴜɪʀᴇᴅ ʀᴀᴛɪᴏ ɪs 1:6π .

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