A cone has a radius of 3 cm and a height of 4 cm. What is the volume of the cone

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Question: A cone has a radius of 3 cm and a height of 4 cm. What is the volume of the cone?

Options:

Correct Answer: 24 cm³

Solution:

Volume = (1/3)πr²h = (1/3) * π * 3² * 4 = (1/3) * 3.14 * 9 * 4 = 37.68 cm³.

A cone has a radius of 3 cm and a height of 4 cm. What is the volume of the cone?

A cone has a radius of 3 cm and a height of 4 cm. What is the volume of the cone?

Step 1: Identify the formula for the volume of a cone, which is Volume = (1/3)πr²h.
Step 2: Plug in the values for the radius (r) and height (h). Here, r = 3 cm and h = 4 cm.
Step 3: Calculate r² (the radius squared). So, 3² = 9.
Step 4: Now substitute r² into the formula: Volume = (1/3)π * 9 * 4.
Step 5: Multiply 9 by 4 to get 36. So now we have Volume = (1/3)π * 36.
Step 6: Calculate (1/3) * 36, which equals 12. So now we have Volume = 12π.
Step 7: Use the approximate value of π (3.14) to find the volume. Multiply 12 by 3.14.
Step 8: Calculate 12 * 3.14 to get 37.68 cm³.

Volume of a Cone – The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius and h is the height.