Question

*PLEASE ANSWER TY* What is the volume of a hemisphere-shaped coffee if the width of the coffee cup is about 16.51 centimeters? (Use 3.14)

Answer 1

Option (1)

Explanation:

By the property of the liquids,

"Liquids have a fixed volume but don't have the fixed shape. If we put a liquid in a bottle or a cup it will acquire the shape of a bottle or cup."

In our question, coffee when kept in a cup will take the shape of the cup which is a hemisphere.

Volume of a hemisphere =
`(2)/(3)\pi r^(3)`

Where 'r' = radius of the hemisphere

Radius of the cup =
`(16.51)/(2)` cm

Volume of the hemisphere =
`(2)/(3)\pi ((16.51)/(2) )^(3)`

=
`(2)/(3)\pi (8.255)^3`

= 1177.5778

≈ 1177.58 cm³

Therefore, Option (1) will be the answer.