Question

as the size of a fireworks shell increases, the height above the ground when the firework bursts increases. for a firework to burst 1,075 feet above the ground, a fireworks shell in the shape of a sphere with a volume of 514.23 cubic inches could be used. to the nearest whole number, what is the volume of this fireworks shell in cubic centimeters? (1 inch = 2.54 centimeters)

Explanation:

Step1: Convert inches to cm

$2.54 \text{ cm} = 1 \text{ inch}$, so $1 \text{ cubic inch} = (2.54)^3 \text{ cubic cm}$

Step2: Calculate conversion factor

$(2.54)^3 = 2.54 \times 2.54 \times 2.54 = 16.387064$

Step3: Convert volume to cubic cm

$514.23 \times 16.387064 \approx 19763$

Answer:

19763 cubic centimeters