MATHEMATICS MIDDLE SCHOOL

The volume of a cone is 141.3 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? Use π = 3.14. 2 inches
3 inches
5 inches
9 inches

Answers

Answer 1

Answer:

The required radius of the given cone is 3 inches which is the correct answer would be option (B).

What is the volume of a cone?

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

The volume of the cone (V )= 1/3πhr²

The volume of a cone is 141.3 cubic inches. The height of the cone is 15 inches.

To determine the radius of the given cone.

The volume of the cone (v) = 1/3πr²h

Substitute the values of h and v, solve for r

⇒ 141.3 = 1/3π(r)²(15)

⇒ 141.3 = π(r)²(5)

Divided by 5π into both sides of the above equation,

⇒ 141.3/5π = (r)²

⇒ 9 = (r)²

⇒ (r)² = 3²

⇒ r = 3

Hence, the required radius of the given cone is 3 inches.

Learn more about the volume of the cone here:

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Answer 2

Answer: The Answer is 3 Inches.
The Equation is 15×9×3.14÷3=141.3 cubic inches(volume)
The Formula is h×r²×π÷3=V

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Find m
(-3x + 20)
(-2x + 55)

Answers

Answer: Solution for (-3x+20)+(-2x+55)=180 equation: x= -21

Step-by-step explanation:

Simplifying

(-3x + 20) + (-2x + 55) = 180

Reorder the terms:

(20 + -3x) + (-2x + 55) = 180

Remove parenthesis around (20 + -3x)

20 + -3x + (-2x + 55) = 180

Reorder the terms:

20 + -3x + (55 + -2x) = 180

Remove parenthesis around (55 + -2x)

20 + -3x + 55 + -2x = 180

Reorder the terms:

20 + 55 + -3x + -2x = 180

Combine like terms: 20 + 55 = 75

75 + -3x + -2x = 180

Combine like terms: -3x + -2x = -5x

75 + -5x = 180

Solving

75 + -5x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-75' to each side of the equation.

75 + -75 + -5x = 180 + -75

Combine like terms: 75 + -75 = 0

0 + -5x = 180 + -75

-5x = 180 + -75

Combine like terms: 180 + -75 = 105

-5x = 105

Divide each side by '-5'.

x = -21

Simplifying

x = -21

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