A block of steel in the shape of a prism with a rectangular base. The measurements of the base are 30 cm by 20 cm and the height

Question

3 years ago

8

A block of steel in the shape of a prism with a rectangular base. The measurements of the base are 30 cm by 20 cm and the height

of the prism is 10 cm. By melting this block, marbles are made which have the shape of a ball. How many marbles can be made if the radius measurement of one of these marbles is 11.273 cm?
Can anyone please help?

Mathematics

1 answer:

Luden [163] · Answer 1 · 2022-05-17T07:16:28+03:00

Luden [163]3 years ago

8 0

9514 1404 393

Answer:

1 marble

Step-by-step explanation:

The volume of steel is ...

V = LWH

V = (30 cm)(20 cm)(10 cm) = 6000 cm³

The volume of a marble is ...

V = (4/3)πr³ = (4/3)π(11.273 cm)³ = 6000 cm³

The block of steel will make 1 marble.