Question

Roger Federer bought a can of three tennis balls as a gift for his nephew. The can is just large enough for the balls to fit inside.

a. What is the volume of the can? Round your answer to the nearest thousandth. (Use your previous notes to remember the volume of a cylinder.)

Answer 1

Answer:

$V=46.377\ in^3$

Step-by-step explanation:

-Since the ball is large enough for 3 balls to fit in, it's height is equivalent to 3 times the diameter of one ball:

$h=3D\\\\=3\times 2.7\ in\\\\=8.1\ in$

#The volume of the cylinder can then be calculated using the formula:

$V=\pi r^2 h\\\\r=0.5D=0.5\times 2.7=1.35\ in\\h=8.1\ in\\\\\therefore V=\pi \times 1.35^2\times 8.1\\\\=46.377\ in^3$

Hence, the volume of the can is $46.377\ in^3$