Question

Mary wants to fill a cylindrical cup with water. The dimensions of the cup are labeled below.

Radius: 6cm
Height: 15cm
How much water can Mary put in the cup without it overflowing?
A. 1,620
B. 540
C. 270
D. 180

Answer 1

the answer is 1696.46 (rounded) because you have to use the equation of the volume of a cylinder

Answer 2

`\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h=15 \end{cases}\implies \begin{array}{llll} V=\pi (6)^2(15)\implies V=540\pi \\\\\\ V\approx 1696.46 \end{array}`

notice, the cup can take that much in cm³, so it can surely take 1620 just fine.