A cone has a radius of 4 cm and a height of 9 cm. What is its volume? (Use π = 3

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Question: A cone has a radius of 4 cm and a height of 9 cm. What is its volume? (Use π = 3.14) (2023)

Options:

Correct Answer: 113.04 cm³

Exam Year: 2023

Solution:

Volume = (1/3)πr²h = (1/3) * 3.14 * (4)² * 9 = 113.04 cm³.

A cone has a radius of 4 cm and a height of 9 cm. What is its volume? (Use π = 3.14) (2023)

A cone has a radius of 4 cm and a height of 9 cm. What is its volume? (Use π = 3.14) (2023)

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 4 cm and h (height) is 9 cm.
Step 3: Calculate r² (radius squared). So, (4)² = 16.
Step 4: Now substitute r² into the formula: Volume = (1/3) * 3.14 * 16 * 9.
Step 5: Multiply 16 by 9 to get 144.
Step 6: Now the formula looks like this: Volume = (1/3) * 3.14 * 144.
Step 7: Calculate (1/3) * 144, which is 48.
Step 8: Finally, multiply 48 by 3.14 to get the volume: 48 * 3.14 = 150.72 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.