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3 years ago

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?

Mathematics

1 answer:

Fudgin [204]3 years ago

8 0

Answer:

Step-by-step explanation:

Formula for finding the volume of a cone: $V=\pi r^{2} \frac{h}{3}$

From the question, we can tell that the height, h, is equal to 2d or 4r.

h = 4r.

Substitute h into the volume formula:

$V=\pi r^{2} \frac{4r}{3}$

Rearrange to get the final equation of:

$V=\frac{4}{3} \pi r^{3}$

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Anarel [89]

Answer:

(3,-1) (4,-2)

Step-by-step explanation:

the coordinates are what you have to look for

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3 years ago

Calculate the area of the quarter circle estimate using 3.14 for pi

mars1129 [50]

The area of the quarter circle with radius 3ft is $7.065 ft^2$

Area of a quarter circle is given by the formula:

$Area = \frac{\pi r^2}{4}$

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π = 3.14

Substitute π = 3.14 and r = 3 into the formula $Area = \frac{\pi r^2}{4}$

$Area = \frac{3.14 \times 3^2}{4}\\\\Area = \frac{3.14 \times 9}{4}\\\\Area = \frac{28.26}{4}\\\\Area = 7.065 ft^2$

The area of the quarter circle with radius 3ft is $7.065 ft^2$

Learn more here: brainly.com/question/25843249

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3 years ago

50% of 80 solve pls show working pls I know it just try working it

Eduardwww [97]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{40}}}}}$

Step-by-step explanation:

$\sf{50 \: \% \: of \: 80}$

To convert the percent into a fraction , divide it by 190 and remove the % symbol. Then , Simplify the fraction to its lowest term.

⇒ $\sf{ \frac{50}{100} \times 80}$

⇒ $\sf{ \frac{1}{2} \times 80}$

Divide 80 by 2

⇒ $\sf{40}$

Hope I helped!

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5 0

3 years ago

Read 2 more answers

Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always tur

daser333 [38]

Answer:

After 88 seconds, they will blink together.

Step-by-step explanation:

Time after which the first light blinks = 8 seconds

Time after which the second light blinks = 22 seconds

Initially, both the lights blink together.

To find:

The time at which they will blink together again.

Solution:

Let us have a look at the time after which each light will blink.

First light will blink after:

8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......

Second light will blink after:

22 s, 44 s, 66 s, 88 s, 110 s, .....

It can be seen that common time is 88 second, at which the both will blink together.

So, the answer is 88 s.

This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.

Using the factorization method:

$8=\underline{2}\times 2\times 2$

$22=\underline{2}\times 11$

Common is 2.

Therefore the LCM will be:

$2\times 2\times2\times 11 = \bold{88}$

So, the answer is 88 s.

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3 years ago

Question and Answers below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇

Aleks04 [339]

Answer:

72 $yd^{3}$

Step-by-step explanation:

Volume for a triangular prism = $\frac{1}{2}$ a · c · h

A = Height. C = Width. H = Length.

A = 3 yd. C = 8 yd. H = 6 yd.

V = 114 yd.

V = 114 yd ÷ 2 yd = 72 $yd^{3}$ .

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3 years ago

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?​

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?