Question

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Answer 1

• the πr² comes from area of circle.

• volume of cone: $\sf \frac{1}{3}$πr²h  →  $\sf \frac{1}{3}$π(5)²(12) → 314.16 cm³

• volume of cylinder: πr²h → π(5)²(12) → 942.48 cm³

solve for which is greater:

volume of cylinder - volume of cone

942.48 cm³ - 314.16 cm³

628.32 cm³

       Therefore, cylinder has larger volume by 628.32 cm³

Answer 2

Answer:

volume of a cylinder: $\pi r^2h$

volume of a cone: $\dfrac13\pi r^2h$

(where r is the radius and h is the height)

$\pi r^2$ is the formula for the area of a circle

Cylinder

$\implies V=\pi r^2h=\pi \times 5^2 \times 12=300\pi \ \textsf{cm}^3$

Cone

$\implies V=\dfrac13\pi r^2h=\dfrac13 \times \pi \times 5^2 \times 12=100\pi \ \textsf{cm}^3$

Comparing the two volumes, the volume of the cylinder is three times the volume of the cone.