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 base of the cone?
6 = one-third pi (r squared) (8 pi)
8 pi = one-third pi (r) (6 squared)
6 = one-third (pi r)(8 pi)
8 pi = one-third pi (r squared) (6)
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 base of the cone?
6 = one-third pi (r squared) (8 pi)
8 pi = one-third pi (r) (6 squared)
6 = one-third (pi r)(8 pi)
8 pi = one-third pi (r squared) (6)
The correct expression to find the radius, r, of the base of the cone is:
8π = (1/3)πr^2(6)
Simplifying further:
8π = 2πr^2
Now we can divide both sides of the equation by 2π to solve for r:
r^2 = (8π) / (2π)
r^2 = 4
Taking the square root of both sides:
r = ±2
Since radius cannot be negative, the correct value for r is:
r = 2 cm
What is the height of the cone below?
A cone with base of 18 centimeters squared and volume of 90 centimeters cubed.
5 cm
6 cm
15 cm
30 cm
To find the height of the cone, we need to use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
Given that the base of the cone has an area of 18 cm^2 and the volume is 90 cm^3, we can write the equation as:
90 = (1/3) * π * 18 * h
Simplifying further:
90 = (6/3) * π * h
90 = 2πh
To solve for h, we can divide both sides of the equation by 2π:
h = 90 / (2π)
Now, let's calculate the value of h:
h = 90 / (2 * 3.14159)
h ≈ 14.33 cm
Therefore, the height of the cone is approximately 14.33 cm.
try again ur incorrect
helo
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awnser the previous question
Apologies for the mistake in my previous response. Let's re-evaluate the question.
Given that the base of the cone has an area of 18 cm^2 and the volume is 90 cm^3, we can use the formula for the volume of a cone to find the height, h.
The formula for the volume of a cone is:
V = (1/3) * π * r^2 * h
We are given that the base area is 18 cm^2. The formula for the area of a circle is A = π * r^2. So, we can determine the radius, r, by solving the equation:
18 = π * r^2
Simplifying further:
r^2 = 18 / π
Taking the square root of both sides:
r ≈ √(18 / π)
Now, we can substitute the value of r into the volume equation:
90 = (1/3) * π * (√(18 / π))^2 * h
Simplifying further:
90 = (1/3) * π * (18 / π) * h
90 = 6 * h
Dividing both sides of the equation by 6:
h = 90 / 6
h = 15 cm
Therefore, the height of the cone is 15 cm.
Jaclyn sells candles that are in the shape of cones. She makes a green candle that has a radius of 2.5 inches and a height of 9 inches. She sells each candle at a price of $0.25 per cubic inch of wax. Which statements about the green candle are true? Check all that apply. Use 3.14 for Pi.
The volume of the green candle is about 23.55 inches cubed.
The volume of the green candle is about 58.88 inches cubed.
The diameter of the green candle is 5 in.
The diameter of the green candle is 1.25 in.
The base area of the green candle is about 19.63 inches squared.
The base area of the green candle is about 7.85 inches squared.
The price of one green candle is about $5.89.
The price of one green candle is about $14.72.