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3 years ago

The volume of a cone with a height of 6 cm is 8 PI cubic centimeters. Which expression can be used to find r, the radius of the

Mathematics

1 answer:

timama [110]3 years ago

6 0

Answer:

The correct option is D.

8π = 1/3 * π * (r)² * 6

Step-by-step explanation:

First of all to solve this problem we have to know the formula to calculate the volume of a cone

v = volume = 8π

r = radius

h = height = 6cm

π = pi

v = 1/3 * π * r² * h

we replace with the known values

8π = 1/3 * π * (r)² * 6

If we look at the options, the correct option is D.

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Ashton plans to put a fence around his circular garden. When Ashton walks from one side of the garden to the other, through the

qwelly [4]

Answer:

Circumference: C = 7.5π m. This is approximately 23.56 m

Total fencing cost: $215.76

Step-by-step explanation:

Ashton walks along the diameter of the garden, which is 7.5 m.

The circumference formula C = πd yields C = 7.5π m. This is approximately 23.56 m, which we must round up to 24 m, and which calls for 24 - 1 m pieces at $8.99 each.

The desired fencing would cost (24 m)($8.99/m), or $215.76

3 0

3 years ago

Find the area of the hexagon. i will mark brainliest and pls explain.

Vika [28.1K]

Answer:

C. 150√3

Step-by-step explanation:

Radius of the inscribed circle is the apothem of the hexagon.

Apothem (a) and half of the side (s) make a 30-60-90 right triangle.

The ratio of the legs, as per property of 30-60-90 triangle:

s : a = 1 : √3 ⇒ s : 5√3 = 1 : √3 ⇒ s = 5

Half the side is s = 5 units, then side of the hexagon is 10 units.

The area of the hexagon:

A = 1/2Pa, P- perimeter, a- apothem
A = 1/2(6*10)*(5√3) = 150√3

Correct choice is C

4 0

3 years ago

-6=-8+ <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bp%7D%7B11%7D%20" id="TexFormula1" title=" \frac{p}{11} " alt=" \frac{p}

vekshin1

P=22 rewrite the question as -8+p/11=-6 then move all terms not containing p to the right side p/11=2 multiply both sides of the given equation by 11, the reciprocal, 11*p/11=11*2

8 0

3 years ago

A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u

Kryger [21]

Given: $f(x) = \frac{1}{x-2}$