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3 years ago

a cone has the height of 20 centimeters and a volume of 4,170 cubic centimeters. what is the area of the base of the cone

Mathematics

2 answers:

marishachu [46]3 years ago

5 0

Hey there! I'm happy to help you!

The formula for the volume of a cone is V=1/3(πr²h). Now, to make it look ungibberishy and all numbery...

The volume of the cone is equal to the area of the base (the circle on the bottom whose area formula is pi multiplied by the radius squared) multiplied by the height and then divided by three.

In our case, though, we already have the volume. We need to undo the equation so that we can find the area of the circle base.

In our equation the last thing we do is divide by three. So, we will want to multiply by three to undo this.

4,170*3= 12510

The other step we took was multiply the base by the height, which is 20 centimeters. To get our base, we will divide by the height instead!

12510/20= 625.5

Therefore, the area of the base of the cone is 625.5 centimeters squared.

I hope that this helps! Have a wonderful day!

Varvara68 [4.7K]3 years ago

3 0

Answer:

625.5 cm^2

Step-by-step explanation:

The volume of a cone is

V = 1/3 B h

4170 = 1/3 B 20

4170 = 20/3 B

Multiply each side by 3/20

4170 *3/20 = B

625.5 = B

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almond37 [142]

The relationship between the number of pentagons and the perimeter will be

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From the diagram in the question, each side of a pentagon has length $3units$ .

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Using these observations, we can create a relationship between the number of pentagons, $x$ , and the perimeter, $y$ , as follows

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For $x=3$

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3 years ago

I need help with solving the value of x. Then finding the measure of the base angle.

romanna [79]

Answers:

x = -3

base angle = 49 degrees

============================================

Work Shown:

The missing angle is (2x+55) degrees since the base angles are congruent.

Add up the three angles and set the sum equal to 180. Solve for x.

(82)+(2x+55)+(2x+55) = 180

4x+192 = 180

4x = 180-192

4x = -12

x = -12/4

x = -3

Use this x value to find the base angle

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= 27.6 ft²

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= 10.5 +27.6

= 38.1 ft²

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