Question

What is the volume of a cone having radius of 21cm and height of 5cm?

• A. 220 cm³
• B. 6930 cm³
• C. 2310 cm³
• D. 4620 cm³

Answer 1

Answer:

C. 2310 cm³

Mathematics - Solids: Volume of a Cone

Understanding the Formula

• The volume of a cone is calculated using the formula: V = (1/3) × π × r² × h

• Where:

  • V represents the Volume

  • π (pi) is a mathematical constant, approximately equal to 22/7 or 3.14159

  • r is the radius of the base of the cone

  • h is the height of the cone

Applying the Formula to the Problem

• Given:

  • Radius (r) = 21 cm

  • Height (h) = 5 cm

  • We will use π ≈ 22/7 for calculation, which is common in competitive exams.

• Calculation Steps:

  • Substitute the given values into the formula: V = (1/3) × (22/7) × (21 cm)² × (5 cm)

  • Therefore, the Volume (V) = 2310 cm³