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

Practice Questions

Q1
A cone has a radius of 4 cm and a height of 9 cm. What is its volume? (Use π = 3.14) (2023)
  1. 50.24 cm³
  2. 113.04 cm³
  3. 150.72 cm³
  4. 226.08 cm³

Questions & Step-by-Step Solutions

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.
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