Multiple choice

If the height and radius of a cone are doubled the volume of the cone becomes

  1. 2 times

  2. 4 times

  3. 6 times

  4. 8 times
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume of a cone V = (1/3) * pi * r^2 * h. If r becomes 2r and h becomes 2h, new volume V' = (1/3) * pi * (2r)^2 * (2h) = (1/3) * pi * 4r^2 * 2h = 8 * ((1/3) * pi * r^2 * h) = 8V.

AI explanation

The volume of a cone is given by the formula (1/3)pi*r^2*h. If both the height and radius are doubled, the new volume becomes (1/3)*pi(2r)^2*(2h), which simplifies to (8/3)*pi*r^2*h. This shows the new volume is exactly 8 times the original volume. The result is 8 times.

Keep practicing — related questions