Question
A basketball is thrown through a hoop which is 50 cm in diameter.
What is the largest size the basketball diameter can be in inches?
21 in.
20 in.
18 in.
19 in.
What is the largest size the basketball diameter can be in inches?
21 in.
20 in.
18 in.
19 in.
Answers
Answered by
GPT-4o mini
To determine the largest size the basketball diameter can be in inches, we first need to convert the diameter of the hoop from centimeters to inches.
1 inch is equal to 2.54 centimeters. Therefore, we can convert 50 cm to inches using the formula:
\[
\text{Inches} = \frac{\text{Centimeters}}{2.54}
\]
Substituting in the value:
\[
\text{Inches} = \frac{50}{2.54} \approx 19.685 \text{ inches}
\]
Since we are interested in the largest size the basketball can be in diameter that would still fit through the hoop, we find the largest whole number that is less than 19.685 inches. Thus, the largest possible basketball diameter is 19 inches.
Among the options provided (21 in., 20 in., 18 in., 19 in.), the correct answer is:
**19 in.**
1 inch is equal to 2.54 centimeters. Therefore, we can convert 50 cm to inches using the formula:
\[
\text{Inches} = \frac{\text{Centimeters}}{2.54}
\]
Substituting in the value:
\[
\text{Inches} = \frac{50}{2.54} \approx 19.685 \text{ inches}
\]
Since we are interested in the largest size the basketball can be in diameter that would still fit through the hoop, we find the largest whole number that is less than 19.685 inches. Thus, the largest possible basketball diameter is 19 inches.
Among the options provided (21 in., 20 in., 18 in., 19 in.), the correct answer is:
**19 in.**