Answer:
(a)121.5 square inches
(b)196.25 cubic inches
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
[tex]\begin{gathered} Base\; \text{Area of a cylinder =}\pi r^2 \\ =\pi\times5^2 \\ =25\pi\text{ square inches} \end{gathered}[/tex]
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)
[tex]\begin{gathered} =300-(25\pi+100) \\ =300-(25\times3.14+100) \\ =300-(78.5+100) \\ =121.5\text{ square inches} \end{gathered}[/tex]
Part B
Height of the cylinder = 2.5 inches
[tex]\begin{gathered} \text{Volume of a cylinder=}\times\pi r^2h \\ =3.14\times5^2\times2.5 \\ =196.25\text{ cubic inches} \end{gathered}[/tex]
