Question

For a birthday party, Mrs. Guilliano bought 11 spherical balloons, each with an inflated diameter of 1.5 ft.

Answer 1

Answer:

The volume of helium needed to fill 11 balloons is 19.4 ft³

C is correct

Step-by-step explanation:

For a birthday party, Mrs. Guilliano bought 11 spherical balloons, each with an inflated diameter of 1.5 ft.

Balloons are spherical with diameter 1.5 ft

Radius of spherical = Half of diameter

Radius (r) = 0.75 ft

$\text{Volume of Sphere}=\dfrac{4}{3}\pi r^3$

Volume of each balloon $=\dfrac{4}{3}\pi (0.75)^3\Rightarrow 1.767$ ft³

Amount of helium for 1 balloon = 1.767 ft³

Amount of helium for 11 balloons = 11 x 1.767 = 19.4 ft³

Hence, The volume of helium needed to fill 11 balloons is 19.4 ft³

Answer 2

Your answer should be C: 19.4