Question

Lucy is setting up a feeding area for her new puppy. In the corner of her kitchen, she places a square-shaped plate and a cylinder-shaped bowl on a rectangular tray

Answer 1

(a)121.5 square inches

(b)196.25 cubic inches

Step-by-step explanation:

Part A

The dimension of the rectangular tray is 30 inches by 10 inches.

Area of the rectangular tray =30 x 10

=300 square inches

Cylinder

The diameter of the cylinder-shaped bowl = 10 inches

Radius = Diameter/2

= 10/2

= 5 Inches

`\begin{gathered} Base\; \text{Area of a cylinder =}\pi r^2 \\ =\pi*5^2 \\ =25\pi\text{ square inches} \end{gathered}`

Square

Side length of the square = 10 inches

Area of the square =10²

=100 square inches

Therefore, the area of the tray not covered

=Area of the tray - (Base Area of the cylinder + Area of the square)

`\begin{gathered} =300-(25\pi+100) \\ =300-(25*3.14+100) \\ =300-(78.5+100) \\ =121.5\text{ square inches} \end{gathered}`

Part B

Height of the cylinder = 2.5 inches

`\begin{gathered} \text{Volume of a cylinder=}*\pi r^2h \\ =3.14*5^2*2.5 \\ =196.25\text{ cubic inches} \end{gathered}`