A cone has a base radius of 4 cm and a height of 9 cm. What is its volume?

₹0.0

Question: A cone has a base radius of 4 cm and a height of 9 cm. What is its volume?

Options:

Correct Answer: 36π

Solution:

The volume of a cone is given by V = (1/3)πr²h. Here, r = 4 and h = 9, so V = (1/3)π(4)²(9) = 48π.

A cone has a base radius of 4 cm and a height of 9 cm. What is its volume?

A cone has a base radius of 4 cm and a height of 9 cm. What is its volume?

Step 1: Identify the formula for the volume of a cone, which is V = (1/3)πr²h.
Step 2: Identify the values for the radius (r) and height (h) of the cone. Here, r = 4 cm and h = 9 cm.
Step 3: Substitute the values of r and h into the formula: V = (1/3)π(4)²(9).
Step 4: Calculate (4)², which is 16.
Step 5: Now substitute back into the formula: V = (1/3)π(16)(9).
Step 6: Multiply 16 by 9, which gives 144.
Step 7: Now substitute this value back: V = (1/3)π(144).
Step 8: Calculate (1/3) of 144, which is 48.
Step 9: Therefore, the volume of the cone is V = 48π.

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