Question

Jim needs to fill his fish tank using a cylindrical bucket. The bucket has a diameter of 30 inches and is 12 inches deep. How many buckets will he need to fill the tank that is 80 inches long?

Answer 1

Jim will need to fill 3 buckets to fill his fish tank.

Step-by-step explanation:

Part 1: Calculating the volume of the bucket

Radius:

Diameter = 30 inches

Radius = Diameter / 2 = 30 inches / 2 = 15 inches

Volume:

Formula: π * r^2 * h

r = 15 inches

h = 12 inches

Volume ≈ π * (15 inches)^2 * 12 inches ≈ 8,482 cubic inches

Part 2: Calculating the volume of the fish tank

Volume:

Formula: Length * Width * Height

Length = 80 inches

Width = 30 inches

Height = 12 inches

Volume = 80 inches * 30 inches * 12 inches = 28,800 cubic inches

Part 3: Finding the number of buckets needed

Number of buckets:

Formula: Tank volume / Bucket volume

Tank volume = 28,800 cubic inches

Bucket volume ≈ 8,482 cubic inches/bucket

Number of buckets ≈ 28,800 cubic inches / 8,482 cubic inches/bucket ≈ 3.40

Rounding:

Since Jim cannot use a fraction of a bucket, he will need to round up to the nearest whole number.

Number of buckets ≈ 3.40 ≈ 3

Therefore, he will need 3 buckets to fill the fish tank.