Question

A semi-circular sector of radius 16 centimeters is rolled to make a cone What is the base Radius of the cone?

• A. 16 cm
• B. 8 cm
• C. 4 cm
• D. 12 cm

Answer 1

Answer:

B. 8 cm

• Arc Length = 1/2​×2πr

• Arc Length = πr

• Arc Length = π(16)=16π cm.

• Let the base radius of the cone be R. The circumference of the cone's base is given by the formula 2πR.

  • 2πR=16π

• Divide both sides of the equation by 2π.

• R=16π/2π​

• R=8 cm