Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

jordan wants to find the volume of a cylindrical water storage tank. wh…

Question

jordan wants to find the volume of a cylindrical water storage tank. when we walks around the tank, staying as close to the tank wall as possible, he travels 82.1 feet. how can he use this information when finding the volume of the tank?

he can say the radius of the base of the tank is approximately 13 feet.
he can say the radius of the base of the tank is approximately 41 feet.
he can say the area of the base of the tank is approximately 82 feet.
he can say the height of the tank is approximately 82 feet.

Explanation:

Relate walking distance to circumference

$$ C = 82.1\text{ feet} $$

Calculate the radius from circumference

$$ LATEXBLOCK0 $$

Match with the correct option

$$ r \approx 13\text{ feet} $$

Answer:

  • (A) He can say the radius of the base of the tank is approximately 13 feet. (Correct answer)
  • (B) He can say the radius of the base of the tank is approximately 41 feet.
  • (C) He can say the area of the base of the tank is approximately 82 feet.
  • (D) He can say the height of the tank is approximately 82 feet.