Answered

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A cylindrical vase is 10 centimeters in height. When
filled to the very top, it holds 125 cubic centimeters of
water. What is the radius of the vase, rounded to the
nearest tenth? Explain or show your reasoning.

Sagot :

Abidemiokinidn

The measure of the radius of the cylinder to the nearest tenth is 1.7cm

Surface area of a cylinder

The formula for calculating the surface area of a cylinder is expressed as:

S = 2πr(r+h)

Given the following

S=. 125cm²

h = 10cm

Substitute

125 = 2πr(r+10)

Expand

125 = 2(3.14)r² + 20(3.14)r
6.28r² + 62.8r - 125 = 0

Factorize

On factorizing, the measure of the radius of the cylinder will be 1.7cm

Learn more on surface area here: https://brainly.com/question/16519513

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