# KEEP IT REAL,KEEP IT SAFE

### Project-Scope

## BETTER CASE FOR YOUR PHONE CASE

## FIRST ITEM OF BUSINESS

Volume is Length *Width *Height/Volume of a cube = side times side times side

Cube = a3

Rectangular prism = a*b*c

Volume is measured in cubic units

The volume of a figure is the # of cubes required to fill it completely

## SECOND ITEM OF BUSINESS

A=πr2

number of square units inside that circle

If you have the diameter of a circle, you can use it to find the area of that circle

The area A of a circle equals the product of pi (π) and the square of its radius r

## THRID ITEM OF BUSINESS

## SPHERE· V=43πr3 · The number of cubic units that will exactly fill a sphere · the volume of a sphere is exactly two thirds the volume of its circumscribed cylinder | ## Cone· V=πr2h
| ## CYLINDERS· V=πr2h The volume of a cone is a third of a cylinder It takes 3 cones to fill up a cylinder |

## SPHERE

· V=43πr3

· The number of cubic units that will exactly fill a sphere

· the volume of a sphere is exactly two thirds the volume of its circumscribed cylinder

## A CONES RELATION TO A CYLINDER

## FOURTH ITEM OF BUSINESS

· The volume of a sphere is 4πr3/3, and the volume of the circumscribing cylinder is 2πr3

## FIFTH ITEM OF BUSINESS

**A cylinder has a radius of 5 cent0imeters and a height of 12 centimeters. What would the height of a cone need to be if it has the same volume and radius? Round to the nearest centimeter.**

** **

Let *h *be the height of the cylinder, *H *be the height of the cone, and *r *be the radius of both.

The height of the cone is 36 centimeters.

**Mia’s parents have a cylindrical oak tree stump that has a diameter of 3 feet and a height of 2 feet. How much does the stump weigh if the average weight of oak is 59 pounds per cubic foot? Round to the nearest tenth.**

** **

First find the volume of the stump.

To find the weight of the stump, multiply the volume by 59.

14.1(59) = 831.9

So, the weight of the stump is about 831.9 pounds.

**The radius of a basketball is 4.7 inches. What is the volume of the basketball? Round to the nearest tenth.**

The volume of the basketball is about 434.9 cubic inches.