Find the volume of the cylinder. Round your answer to the nearest hundredth of a cubic meter.

A square pyramid with a height of 7 inches has volume of 47.25 cubic inches. Find the side length of the square base.

Cone A and cone B are similar. Find the volume of cone B. Leave your answer in terms of π.[br]Cone A has a radius of 6 cm and a volume 96 [math]cm^3[/math][br]Cone B has a radius of 9 cm

Find the exact surface area and volume of the sphere.

The base of a pentagonal prism is regular with an apothem of 4 centimeters and a side length of 2.91. The height of the prism is 16 centimeters. Find the volume of the prism. Round your answer to the nearest cubic centimeter.

Each figure is rotated about the given axis. What shapes do they make and what are their volumes?

To get some money you're helping an older couple clean out their garage. On top of paying you for your time they say you can keep any money that recycling will give you. You find a 5-meter-long hollow copper tube. The dimensions of one of the ends are 2mm thick copper walls and 10mm inside radius. Copper has a density of 8.96 grams per cubic centimeter. Find the mass of the copper tube to the nearest hundredth of a kilogram. The scrap yard will pay $1.25 per kg. How much is the tubing worth?

An architect is designing a square pyramid. The square base must have a side length of 18 feet. The volume of the pyramid must be at least 1350 cubic feet and can be at most 1890 cubic feet. What is the height range possible for the pyramid?

First, underestimate the volume by finding volume if the balloon were a perfect sphere.[br]Second, overestimate the volume by finding volume if the balloon were a perfect hemisphere on top of a perfect cone.[br][br]What is the range for volume of air the balloon could hold?