In the cone volume formula V = (1/3) π r^2 h, which variable is squared?

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Boost your skills in A Level Further Mathematics Core Pure. Study with flashcards and multiple choice questions, each question is followed by hints and explanations. Get prepared for your exam with confidence!

Multiple Choice

In the cone volume formula V = (1/3) π r^2 h, which variable is squared?

Explanation:
The squared quantity comes from the base area. The cone’s volume is one-third of the base area times the height, and the base is a circle with area πr^2. Since the area of a circle depends on the square of the radius, the r is the part that’s squared. The height appears only once as h, not squared, and π is just a constant. So the radius is the variable that is squared.

The squared quantity comes from the base area. The cone’s volume is one-third of the base area times the height, and the base is a circle with area πr^2. Since the area of a circle depends on the square of the radius, the r is the part that’s squared. The height appears only once as h, not squared, and π is just a constant. So the radius is the variable that is squared.

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