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3 years ago

A cone with a height of 50 meters has a volume of 5400π meters cubed. What is the radius of the cone?

Mathematics

1 answer:

disa [49]3 years ago

5 0

Answer:

r = 18m

Step-by-step explanation:

h = 50 m

Volume of cone = 5400π m³

$\frac{1}{3}\pi r^{2}h=5400\pi \\\\\\\frac{1}{3}\pi r^{2}*50=5400\pi \\\\\\r^{2}=\frac{5400* \pi *3 }{\pi * 50}\\\\\\r^{2}=108*3\\\\r^{2} = 324\\\\\\r=\sqrt{324}\\\\\\$

r = 18 m

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3 years ago

Martin was selling tickets for a basketball game in a high school. He sold 1,250 tickets and the total amount collected for the

SVETLANKA909090 [29]

Answer:

x = number of students tickets = 1,000

y = number of adults tickets = 250

Step-by-step explanation:

Let

x = number of students tickets

y = number of adults tickets

x + y = 1,250 (1)

2x + 3y = 2,750 (2)

Multiply (1) by 2

x + y = 1,250 (1) * 2

2x + 2y = 2,500 (3)

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Substitute y = 250 into (1)

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3 years ago

Please I need help on this question

Yanka [14]

Step-by-step explanation: i hope this helps :)

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Solving

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Solving for variable 'g'.

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Divide each side by 'x'.

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4 years ago

Mrs. Hartka is packaging soup in cylindrical cans. She calculated the volume of soup to be 325 cubic centimeters per can. The ar

GarryVolchara [31]

The height of each soup can is 4.138 centimeters, if the the volume of soup to be 325 cubic centimeters per can and the area of the base of each can is 25 square centimeters.

Step-by-step explanation:

The given is,

The volume of soup to be 325 cubic centimeters per can.

The area of the base of each can is 25 square centimeters.

Step: 1

Formula to calculate the volume of cylidrical soup can,

$Volume, V = Bh$ ............................(1)

Where, B - Base area of cylidrical soup can

h - Height of cylindrical soup can

Step: 2

From the given values,

Base area, B = 25 square centimeters

Volume, V = 325 cubic centimeters

Equation (1) becomes,

325 = ( 25 ) (h)

h = $\frac{325}{25}$

= 13 centimeters

Height of cylindrical soup can, h = 13 centimeters

Result:

The height of each soup can is 4.138 centimeters, if the the volume of soup to be 325 cubic centimeters per can and the area of the base of each can is 25 square centimeters.

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4 years ago