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3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 cm

Mathematics

2 answers:

erastovalidia [21]3 years ago

6 0

Answer:

Solution given:

radius [r]=height[h]

volume of cylinder=πr²h

18cm³=πr³

again

volume of sphere

=4/3 πr³

=4/3*18=24cm³

<u>the volume of the sphere:24cm³</u>

Naily [24]3 years ago

4 0

Answer:

12 cm³

Step-by-step explanation:

the volume of the sphere = 4/3 πr³

the volume of the cylinder (h=2r)= πr².2r

= 2πr³

the volume ratio of S : C =

4/3 πr³ : 2 πr³

= 4/3 : 2

= 4 : 6

= 2 : 3

so, the volume of the Sphere =

2/3 × 18 = 12 cm³

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