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1. A Bruster's employee is filling an ice cream cone. The cone is 6 inches tall. He fill the cone and then places a 2 inch scoop on top. How much ice cream did he serve?(volume)

2. A man is trying to enclose a round pasture. He has 150 feet of fence. How big(area) of a pasture can he enclose?

3. What is the equation for a circle with center (5,-6) and radius 12?

Sagot :

jcherry99

Answer:

Step-by-step explanation:

Problem One

The scoop is a semisphere I would assume.

The volume of a semisphere = 2/3 * pi * r^2

r = d/2

r = 2/2 = 1

Volume = 2/3 * 3.14 * 1^3

Volume = 2.093

Volume of cone

V = 1/3 * pi * r^2 * h

r = 1

h = 6

V = 1/3 * 3.14 * 1^2 * 6

V = 6.28

Total volume = 8.373

Note: this could be incorrect. It's not clear whether the 2 is a diameter or a radius.

Problem 2

Use the Circumference to find R

C = 2*pi*r

C = 150

r = ?

150 = 2 * 3.14 * r

r = 23.89

Find the area

Area = pi r^2

r = 23.89

Area = 3.14 * 23.89^2

Area = 1791.4 square feet.

Problem 3

The center is 5,-6

The formula is

(x - 5)^2 + (y+6) = 12^2

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