Question

Find the volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm.​

Answer 1

`\displaystyle V = 147 \pi \ cm^3`

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Geometry

Volume of a Cone Formula:
`\displaystyle V = (1)/(3) \pi r^2h`

• r is radius
• h is height

Explanation:

Step 1: Define

Identify

h = 9 cm

r = 7 cm

Step 2: Find Volume

1. Substitute in variables [Volume of a Cone Formula]:
   `\displaystyle V = (1)/(3) \pi (7 \ cm)^2(9 \ cm)`
2. Evaluate exponents:
   `\displaystyle V = (1)/(3) \pi (49 \ cm^2)(9 \ cm)`
3. Multiply:
   `\displaystyle V = (1)/(3) \pi (441 \ cm^3)`
4. Multiply:
   `\displaystyle V = 147 \pi \ cm^3`

Answer 2

Solution given:

height[h]=9cm

radius [r]=7cm

volume of cone =?

we have

Volume of cone:⅓πr²h=⅓*π*7²*9=⅓*22/7*7²*9=

462cm³

volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm is 462cm³.