91Ó°ÊÓ

Find the volume of each solid. Round to the nearest tenth, if necessary. sphere: diameter \(1.8 \mathrm{mm}\)

Find the volume of an octagonal prism with a base area of 25 square meters and a height of 1.5 meters.

A stalactite in a cavern is cone-shaped. It is 20 feet high and has a diameter at its base of 7 feet. Estimate the volume of the stalactite. Then find the volume to the nearest tenth.

Find the volume of each solid. Round to the nearest tenth, if necessary. cylinder: diameter 6 in., height 20 in.

The dimensions of a triangular prism are decreased so that the volume of the new prism is \(\frac{1}{3}\) that of the original volume. Are the two prisms similar? Explain.

MICROWAVES The inside of a microwave oven has a volume of 1.2 cubic feet and measures 18 inches wide and 10 inches long. To the nearest tenth, how deep is the inside of the microwave? (Hint: Convert 1.2 cubic feet to cubic inches.)

Suppose \(\triangle A B C\) is reflected over the \(y\) -axis. If the coordinates of \(\triangle A B C\) are \(A(-2,-3), B(1,-1),\) and \(C(3,2),\) what are the coordinates of $\triangle A^{\prime} B^{\prime} C^{\prime} ?

GRIDDABLE Find the height of a box with a length of 3 meters, width of 1.5 meters, and a volume of 60.3 cubic meters. Round to the nearest tenth.

Suppose a cone has a height \(h\) and radius \(r\) and a sphere has radius \(r\). If you double the radius of the base of a cone, how does the volume change? Explain.

Find each product. $$\frac{1}{2}\left(10 \frac{1}{4}\right)\left(\frac{2}{3}\right)$$