Question

( please help !! )

Answer 1

Answer:

A. Circular base of the bucket

B. Bucket

Step-by-step explanation:

We are given that,

1. The dimensions of the rectangular prism are,

Length = 2 feet, Width = 3 feet and Height = 5 feet.

So, we have,

Area of the rectangular base = $Length\times Width$

i.e. Area of the rectangular base = $2\times 3$

i.e. Area of the rectangular base = 6 feet²

Also, we have,

Volume of the prism = $whl$

i.e. Volume of the prism = $3\times 5\times 2$

i.e. Volume of the prism = 30 feet³

2. The dimensions of the cylinder are given as,

Diameter = 3 feet i.e Radius = $\frac{3}{2}$ = 1.5 feet

Height = 5 feet

Then, we have,

Area of the circular base = $\pi r^2$

i.e. Area of the circular base = $\pi (1.5)^2$

i.e. Area of the circular base = $2.25\pi$

i.e. Area of the circular base = 7.07 feet²

Also, we have,

Volume of the cylinder = $\pi r^{2}h$

i.e. Volume of the cylinder = $\pi (1.5)^{2}\times 5$

i.e. Volume of the cylinder = $\pi 2.25\times 5$

i.e. Volume of the cylinder = $11.25\pi$

i.e. Volume of the cylinder = 35.34 feet³

PART A: Since we have,

Area of the rectangular base = 6 feet² < 7.07 feet² = Area of the circular base

Hence, the circular base of the bucket is larger in area.

PART B: We have,

Volume of the prism = 30 feet³ < 35.34 feet³ = Volume of the cylinder

Hence, the bucket is larger in volume.