Question

& A bowl made in the shape of a hemisphere has diameter of 12 centimeters. When the bowl is

completely filled with soup, its total weight is 658.74 grams. If the soup weighs 1.02 grams per
cubic centimeter, which of the following is closest to the weight of the empty bowl?
12 cm
(1) 197 grams
(2) 264 grams
(3) 452 grams
(4 461 grams

Answer 1

If a bowl made in the shape of a hemisphere has diameter of 12 centimeters. The closest to the weight of the empty bowl is: (4) 461 grams.

What is the weight?

Radius of the hemisphere:

Radius = 12 cm / 2

= 6 cm

Volume of a hemisphere:

Volume = (2/3) * π * r³

Substitute the radius into the formula:

Volume = (2/3) * π * (6 cm)³

Simplifying the calculation:

Volume = (2/3) * π * 216 cm³

Volume ≈ 452.389 cm³

Weight of the empty bowl:

Weight of empty bowl = 452.389 cm³ * 1.02 grams/cm³

Weight of empty bowl ≈ 461.47 grams

Therefore the correct option is (4) 461 grams.

Answer 2

3

Explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 3.14

r = radius = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(2/3) X (6^3) X 3.14 = 452.16 cm^3

1 cm = 1 gram

452.16g