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