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KATRIN_1 [288]
3 years ago
7

A heavy metal sphere

Mathematics
1 answer:
GaryK [48]3 years ago
7 0

Answer: the height of the water after the sphere is placed in

it is 33.33 cm

Step-by-step explanation:

The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as

Volume = πr^2h

Where

π is a constant whose value is 3.14

r represents the radius of the cylinder.

h represents the height of the cylinder.

From the information given,

r = 10 cm

h = height of water in the cylinder = 20 cm

Volume of water in the cylinder before the sphere was placed in it would be

V = 3.14 × 10^2 × 20 = 6280 cm^3

The formula for determining the volume of the sphere is expressed as

Volume = 4/3 πr^3

V = 4/3 × 3.14 × 10^3 = 4186.67cm^3

Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2

To determine the new height of the water,

10466.67 = 3.14 × 10^2× h

h = 10466.67/314 = 33.33 cm

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