Question

part b — calculation problems

1. cylinder

a cylindrical water bottle has a radius of 4 cm and a height of 15 cm.
a. calculate its surface area.
b. calculate its volume.

Explanation:

Step1: Calculate the surface area of the cylinder

The formula for the surface area of a cylinder is \(S = 2\pi r(r + h)\), where \(r\) is the radius and \(h\) is the height.
Substitute \(r = 4\) cm and \(h=15\) cm into the formula:

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Step2: Calculate the volume of the cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\).
Substitute \(r = 4\) cm and \(h = 15\) cm into the formula:

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Answer:

a. The surface area is approximately \(477.28\) \(cm^{2}\).
b. The volume is approximately \(753.6\) \(cm^{3}\).