Question

31 19. The oatmeal container shown has a diameter of 3 inches and a height of 9 inches. Which of the following statements are true? Select all that apply. The area of each base is exactly 97 square inches. The volume of the container is exactly 20.251 cubic inches. The volume of the container to the nearest tenth is about 63.6 cubic inches. gn

Answer 1

Given Data:

The diameter of the container is 3 inches.

The height of the container is 9 inches.

The area of base can be determined as,

`\begin{gathered} A_b=(\pi)/(4)d^2 \\ =(\pi)/(4)(3in)^2 \\ =2.25\pi in^2 \end{gathered}`

Thus, option (i) is incorrect.

The volume can be determined as,

`\begin{gathered} V=A_bh \\ =2.25\pi*9in^3 \\ =20.25\pi in^3 \end{gathered}`

Thus, option (ii) is correct.

The volume of the container the the nearest tenth can be determine as,

`\begin{gathered} V=20.25\pi in^3 \\ =63.6in^3 \end{gathered}`

Thus, option (iii) is correct.

Thus, only option (ii) and (iii) are correct.