What is the volume of a cone with a diameter of 20 and a height of 15? Use 3.14 for pi
The formula for the volume of a cone is:
V = (1/3) * π * r^2 * h
where V is volume, r is the radius of the base of the cone, h is the height, and π is pi.
First, we need to find the radius (r) of the cone. The diameter is given as 20, so the radius will be half of that:
r = diameter / 2 = 20 / 2 = 10
Now we can plug in the values into the formula:
V = (1/3) * π * r^2 * h = (1/3) * 3.14 * (10^2) * 15
Now, calculate the square of the radius (r^2):
r^2 = 10^2 = 100
And continue with the calculation:
V = (1/3) * 3.14 * 100 * 15
V = 3.14 * 100 * 5
V = 314 * 5
V = 1570
So the volume of the cone with a diameter of 20 and a height of 15, using 3.14 for pi, is 1570 cubic units.
When calculating the volume of a cone, you again use the formula:
V = (1/3) * π * r^2 * h
In this case, the radius (r) is given as 5 and the height (h) is given as 9. As before, we'll use π as 3.14.
Plugging the values into the formula, we get:
V = (1/3) * 3.14 * (5^2) * 9
First, square the radius:
5^2 = 25
So the equation becomes:
V = (1/3) * 3.14 * 25 * 9
Now perform the multiplication:
V = 3.14 * 25 * 3
V = 78.5 * 3
V = 235.5
So the volume of the cone with a radius of 5 and a height of 9 is 235.5 cubic units.
To calculate the volume of chocolate needed to fill the cone-shaped mold, we need to use the formula for the volume of a cone, which is:
V = (1/3) * π * r^2 * h
where:
V = volume of the cone
π = pi (approximately 3.14)
r = radius of the base of the cone
h = height of the cone
The diameter of the cone is given as 2 cm, so the radius (r) is half of the diameter:
r = diameter / 2 = 2 cm / 2 = 1 cm
The height (h) of the cone is given as 6 cm.
Plugging these values into the formula, we get:
V = (1/3) * 3.14 * (1 cm)^2 * 6 cm
V = (1/3) * 3.14 * 1 * 6 cm^3
V = (1/3) * 18.84 cm^3
V = 6.28 cm^3
So, the volume of chocolate needed to make a solid chocolate cone with a diameter of 2 cm and a height of 6 cm is 6.28 cubic centimeters.
To find the volume of sand needed to fill the cone-shaped mold, we again use the volume formula for a cone:
V = (1/3) * π * r^2 * h
Given that the mold has a diameter of 4 meters, we first determine the radius, which is half the diameter:
r = diameter / 2 = 4 meters / 2 = 2 meters
Now we have the radius (r = 2 meters) and the height (h = 6 meters). Plugging these into the formula with π as 3.14, we get:
V = (1/3) * 3.14 * (2 meters)^2 * 6 meters
First, square the radius:
(2 meters)^2 = 4 square meters
Now, compute the volume:
V = (1/3) * 3.14 * 4 square meters * 6 meters
V = (1/3) * 3.14 * 24 cubic meters
V = 3.14 * 8 cubic meters
V = 25.12 cubic meters
The volume of sand needed to fill the mold is 25.12 cubic meters.
Thank you thats right
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I have another question, What is the volume of the cone id the radius is 5 and the exterior height is 9
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A professional baker uses a chocolate mold to make decorations for cakes. One chocolate mold is the shape of a cone and has a diameter of 2 cm and a height of 6 cm. What is the volume of chocolate, in cubic cenimeters, is needed to make solid chocolate cone? Use 3.14 for pi.
Oh my gosh! Yes! Thank you! I have another question
You're welcome! I'm glad I could help. What's your next question? Feel free to ask, and I'll do my best to provide you with an answer.
A sandcastle mold is the shape of a cone, with a diameter of 4 meters and a height of 6 meters. What volume of sand is needes to fill the mold? Use 3.14 for pi
Dang you're on a roll! I have one last question.
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A hanging flower vase is in the shape of a cone with a radius of 5 in and a height of 15 in. What volume can the flower vase hold? Use 3.14 for pi
To find the volume that the conical hanging flower vase can hold, you can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
Where:
V = volume
π = pi (approximately 3.14)
r = radius of the base of the cone
h = height of the cone
You're given the radius (r) as 5 inches and the height (h) as 15 inches. Let's plug these values into the formula:
V = (1/3) * 3.14 * (5 inches)^2 * 15 inches
First, calculate the square of the radius (r^2):
(5 inches)^2 = 25 square inches
Now, plug the squared radius into the formula and calculate the volume:
V = (1/3) * 3.14 * 25 square inches * 15 inches
Now multiply:
V = (1/3) * 3.14 * 375 cubic inches
Now perform the multiplication:
V = 3.14 * 125 cubic inches
V = 392.5 cubic inches
Therefore, the volume that the conical hanging flower vase can hold is 392.5 cubic inches.