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Surface Area

A spherical balloon is inflated until its volume becomes 27 times its original volume. How much does its surface area increase?

Surface Area of a Cylinder

         

What is the surface area of a cylinder with radius \( 4 \) and height \( 6 \)?

The above diagram shows a cylinder with height \(h=9.\) If the surface area of the cylinder is \(44\pi,\) what is the radius \(r?\)

Note: The above figure is not drawn to scale.

The above diagram shows a rectangle with \(x=4\) and \(y=8.\) If the rectangle is rotated \(360^\circ\) around line \(l,\) what is the surface area of the resulting body?

Note: The above figure is not drawn to scale.

The diagram above shows two cylinders with \(r_A=2, h_A=4, r_B=3,\) and \(h_B=7.\) If \(S_A\) and \(S_B\) are the surface areas of cylinders A and B, respectively, what is the value of \(\frac{S_A}{S_B}?\)

Note: The above figures are not drawn to scale.

A cylinder has a total surface area of \( 136\pi \). If it has a radius of \(4\), what is its height?

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