Answer:
Gus must fill the cylindrical bucket three times to get it filled for the tank
Step-by-step explanation:
Extracting essential details from the query:-
*** A fish tank has a volume of 4710 inches^3
*** The tank owner utilizes a cylindrical bucket for filling the tank
*** The bucket has a radius of 5 inches and a height of 20 inches
*** We need to compute how many times Gus has to fill the bucket to fully fill the fish tank.
Since the container used for filling the tank is cylindrical, we will apply the formula for finding a cylinder's volume to derive the bucket's volume used for filling the tank.
Volume of a cylinder = π × r^2 × h. The radius of the cylindrical bucket is stated as 5 inches while the height is mentioned as 20 inches.
The bucket's volume is therefore calculated as 3.14 × 5^2 × 20 = 1570 inches^3
Next, it is given that the fish tank’s capacity is 4710 inches^3. To find out how many times the bucket can fill the tank, we must divide the tank's volume by the bucket's volume:
4710/1570 = 3 full buckets.
Thus, Gus has to fill the bucket three times for filling the fish tank completely without spillage.
