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? (Use π = 3.14)

Options:

Correct Answer: 37.68 cm³

Solution:

Volume = (1/3)πr²h = (1/3) * 3.14 * 3² * 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? (Use π = 3.14)

A cone has a radius of 3 cm and a height of 4 cm. What is the volume of the cone? (Use π = 3.14)

Step 1: Identify the formula for the volume of a cone, which is Volume = (1/3)πr²h.
Step 2: Substitute the values into the formula. Here, r (radius) is 3 cm and h (height) is 4 cm.
Step 3: Calculate r² (radius squared). So, 3² = 3 * 3 = 9.
Step 4: Now substitute r² into the formula: Volume = (1/3) * π * 9 * 4.
Step 5: Substitute π with 3.14: Volume = (1/3) * 3.14 * 9 * 4.
Step 6: Multiply 9 by 4 to get 36: Volume = (1/3) * 3.14 * 36.
Step 7: Now calculate (1/3) * 36, which is 12: Volume = 3.14 * 12.
Step 8: Finally, multiply 3.14 by 12 to get 37.68: Volume = 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.
Substitution and Calculation – Correctly substituting the values of radius and height into the formula and performing the arithmetic operations.