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3 years ago

A cone has volume of 12\pi cubic inches. Its height is 4 inches. What is its radius?

Mathematics

1 answer:

asambeis [7]3 years ago

6 0

The radius of cone is 3 inches.

Step-by-step explanation:

Given,

Volume of cone = 12π cubic inches

Height of cone = 4 inches

Let,

r be the radius of cone.

Volume of cone = $\pi r^2\frac{h}{3}$

$\pi r^2\frac{4}{3}=12\pi$

Multiplying both sides by 3

$3*\pi r^2\frac{4}{3}=12\pi * 3\\4\pi r^2 =36\pi$

Dividing both sides by 4π

$\frac{4\pi r^2}{4\ pi}=\frac{36\pi }{4\pi }\\\\r^2=9$

Taking square root on both sides

$\sqrt{r^2}=\sqrt{9}\\r=3$

The radius of cone is 3 inches.

Keywords: volume, radius

Learn more about volume at:

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bekas [8.4K]

Answer:

y-5=4(x+3)

Step-by-step explanation:

y-y1=m(x-x1)

y-5=4(x-(-3))

y-5=4(x+3)

6 0

3 years ago

Jus help im in a timed assigment

gogolik [260]

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3 years ago

Find an equation of the line that contains the given point and is perpendicular to the given line. Using a graphing calculator t

Orlov [11]

The equation of the line is y=2x+1.

We must must transform the standard form equation 3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

3x+6y=5 (Subtract 3x on both sides.)

6y=−3x+5 (Divide both sides by 6.)

y=− 3/6x+ 5/6

y=− 1/2x+ 5/6

The slope of our first line is equal to − 1/2.Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is − 1/x

The negative reciprocal of − 1/2 is equal to 2, therefore 2 is the slope of our line.

Since the equation of line passing through the point (1,3), therefore substitute the given point in the equation y=2x+b:

3=(2×1)+b

3=2+b

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Substitute this value for b in the equation y=2x+b:

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Hence, the equation of the line is y=2x+1.

For more information about equation of line, visit

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1 year ago

Marty has a driveway that is 200 feet long. The tires on her car have a diameter of 18 inches. What is the fewest number of tire

Olin [163]

Answer:

Step-by-step explanation:

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First, measure the diameter of the tire in inches.

Secondly, multiply the diameter by pi, which is approximately 3.1416, to find the tire circumference. For example, if the tire has a 20 inch diameter, multiply 20 by 3.1416 to get 62.83 inches.

3 0

2 years ago

Read 2 more answers

Note: When solving for k, round to four decimals places **

____ [38]

First we find k by using the two values given:
P=Ae^(kt), 8 years between-->t=8
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Log 199 = Log [195•e^(8k)]
Log 199 = Log 195 + 8k
8k = Log 199 - Log 195
k = 0.00882/8 = .0011
Next, we plug the new data in using this k:
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P = Ae^my
P = 199mi.•e^(14•.0011)
P = 199mi.•e^(.0154)
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3 years ago