91Ó°ÊÓ

Two similar cylinders have lateral areas \(81 \pi\) and \(144 \pi .\) Find the ratios of: a. the heights b. the total areas c. the volumes

The lateral area of a cylinder is \(18 \pi .\) If \(h=6,\) find \(r .\)

Two similar cones have volumes \(8 \pi\) and \(27 \pi\). Find the ratios of: a. the radii b. the slant heights c. the lateral areas

(1) Draw a parallelogram for the base and sketch the diagonals. (2) Draw a vertical segment at the point where the diagonals intersect. (3) Join the vertex to the base vertices. Sketch each pyramid, as shown above. Then find its lateral area. A regular triangular pyramid with base edge 4 and slant height 6

Copy and complete the table for spheres. $$\begin{array}{|l|c|}\hline \text { Radius } & \sqrt{2} \\ \hline \text { Area } & ? \\ \hline \text { Volume } & ? \\ \hline \end{array}$$

Copy and complete the table for spheres. $$\begin{array}{|l|c|}\hline \text { Radius } & ? \\ \hline \text { Area } & ? \\ \hline \text { Volume } & 288 \pi \\ \hline \end{array}$$

Two similar pyramids have volumes 3 and 375 . Find the ratios of: a. the heights b. the base areas c. the total areas

The total area of a cylinder is \(100 \pi\). If \(r=h\), find \(r\).

If the radius of a sphere is doubled, the area of the sphere is multiplied by \(\underline{?}\) and the volume is multiplied by \(\underline{?}\)

For Exercises \(11-14\) sketch each square pyramid described. Then find its lateral area, total area, and volume. base edge \(=6\), height \(=4\)