A cylindrical glass holds 3768 cubic centimeters of water. It has a height of 12 cm. Find the radius.

The radius of the cylinder is

10cm

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes. A cylindrical shape time

Data given

Volume of cylinder v = 3768cm³

Height of cylinder h = 12cm

We know that the volume of a cylinder is given as

v = πr²h

Taking π=3.142

Substituting our given data and solving for the radius r we have

3768=3.142*r²*12

3768=37.704*r²

r²=3768/37.704

r²=99.94

r=√99.94

r = 9.99

≈r = 10cm

Answer: radius = 10 cm.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder = π r² h

Where:

r = radius

h = height

Replacing with the values given:

3768 = π r² 12

Solving for r

3768 / (12π) = r²

99.95 = r²

√99.95 = r

r = 9.99 ≅ 10 cm (rounded)

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