Question

A cylindrical garbage can has the dimensions shown.

A cylinder has a diameter labeled twelve inches and height labeled fifteen inches.
Question 1
Part A

What is the area of the horizontal cross section of the cylinder? Use 3.14
for π
.

Enter the correct answer in the box.

about
square inches
Question 2
Part B

What is the area of the vertical cross section of the cylinder through the centers of the bases?

Enter the correct answer in the box.

Answer 1

Check the picture below.

so the horizontal cross-section is simply the area of a circle with a radius of 6, and the vertical cross-section is simply a 12x15 rectangle.

`\stackrel{ \textit{\LARGE horizontal cross-section} }{\pi (6)^2\implies 36\pi \implies 36(3.14)\implies \text{\LARGE 113.04}~in^2} \\\\\\ \stackrel{ \textit{\LARGE vertical cross-section} }{(12)(15)\implies \text{\LARGE 180}~in^2}`