The volume of a cone is 48 cubic inches. The radius is 1.3 meters. Determine the height of the cone. Use 3.14 for
π. Round your answer to the nearest tenth. Show all your work.
Please help me im so lost! I really need help so i dont fail 8th grade. Please help me
That's great! If you need help with any other math problems, feel free to ask.
booom
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Do you have any other math problems you need help with?
Of course, I'm here to help you. Let's break down the problem step by step.
The formula to calculate the volume of a cone is:
V = (1/3) * π * r^2 * h
Where:
V is the volume of the cone,
π (pi) is a constant approximately equal to 3.14,
r is the radius of the base of the cone, and
h is the height of the cone.
In this case, we are given:
V = 48 cubic inches (volume of the cone),
r = 1.3 meters (radius of the base of the cone).
To find the height, we need to rearrange the formula and solve for h.
Step 1: Substitute the given values into the formula:
48 = (1/3) * 3.14 * (1.3^2) * h
Step 2: Simplify the calculation:
48 = (1/3) * 3.14 * 1.69 * h (1.3^2 equals 1.69)
Step 3: Multiply the numbers:
48 = 1.7698 * h
Step 4: Divide both sides of the equation by 1.7698 to solve for h:
h = 48 / 1.7698
Step 5: Calculate:
h ≈ 27.1063
Step 6: Round the result to the nearest tenth:
h ≈ 27.1
Therefore, the height of the cone is approximately 27.1 meters when the volume is 48 cubic inches and the radius is 1.3 meters.
I hope this explanation helps you understand how to solve similar problems. Please let me know if you have any further questions.
recall that V = 1/3 πr^2 h
so plug in your numbers