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2 years ago

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Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14 for pi. 4 inches 6 inche

s 8 inches 10 inches

2 answers:

aleksandr82 [10.1K]2 years ago

8 0

V: volume of a cone = (πr²h)/3 = 104.67 in³
π: pi = 3.14
r: radius = 1/2 diameter = [unknown]
h: height = 4 in

V = (πr²h)/3
V = r²(πh)/3

r² = (3V)/(πh)
r² = (3 ×104.67)/(3.14 × 4)
r² = 25

r = √25
r = 5 (but remember the radius is only 1/2 the diameter)

thus . . .

<u><em>d = 10 in </em></u>

Artist 52 [7]2 years ago

5 0

Answer:

the answer is 10

Step-by-step explanation:

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3 years ago

chubhunter [2.5K]

Answer:

We conclude that

The angle ∠1 = x = 36°

The angle ∠2 = 4x = 4(36°) = 144°

Step-by-step explanation:

Given

<1 and <2 form a linear pair

m∠1 = 4m∠2

To determine

Find the measure of each of the two angles.

<u>Important Points about linear pair:</u>

We know that when two lines meet or intersect, we get a linear pair of angles.

Linear pairs are basically two adjacent angles that form a line.

The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.

As

<1 and <2 form a linear pair

m∠1 = 4m∠2

In other words, angle 1 is 4 times the measure of angle ∠2.

Let the angle ∠1 be = x

As the angle 1 is 4 times the measure of angle ∠2, so

The angle 2 will be = 4x

As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so

$x + 4x = 180$

$5x = 180$

divide both sides by 5

$\frac{5x}{5}\:=\:\frac{180}{5}$

$\:x=36^{\circ }$

Thus, we conclude that

The angle ∠1 = x = 36°

The angle ∠2 = 4x = 4(36°) = 144°

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