a. The cross-sectional area of the cylinder is 1413 cm².
b. The volume of the cylinder is 20,488.5 cm³
The cross-sectional area of a solid shape is the measure of the surface area perpendicular to a specified axis. It helps determine how the shape would look when cut perpendicular to that axis. The formula for calculating cross-sectional area depends on the specific shape you're dealing with. A cylinder has two cross-sectional areas. One is the circular base, and the other is any section parallel to the base. Both cross-sectional areas are circles, and the formula for the area of a circle (πr², where "r" is the radius) applies to each of them.
a. Using π = 22/7, the is:
area one base = 22/7 × (15cm)² = 706.5 cm²
cross-sectional area of the cylinder = 2 × 706.5 = 1413 cm²
b. Volume of cylinder = base area × height
Volume of the cylinder = 706.5 cm² × 29 cm
Volume of the cylinder = 20,488.5 cm³
Therefore, we have the cross-sectional area and volume for the cylinder to be 1413 cm² and 20,488.5 cm³ respectively.