Question

Find the Surface Area and Volume of a cylinder whose radius is 4 inches and height is 10 inches. Use 3.14 for π and round answers to 1 decimal place.

Answer 1

The volume of a cylinder with a radius of 4 inches and a height of 10 inches is 502.4 in³, and its surface area is 351.7 in², using 3.14 for π and rounding to one decimal place.

Step-by-step explanation:

To find the surface area and volume of a cylinder with a radius of 4 inches and a height of 10 inches, we use the formulas for surface area (A) and volume (V) of a cylinder:

• Surface Area (A): A = 2πrh + 2πr²

• Volume (V): V = πr²h

Using 3.14 for π, the calculations are:

• Volume: V = 3.14 × (4 in)² × 10 in = 3.14 × 16 in² × 10 in = 502.4 in³

• Surface Area: A = 2 × 3.14 × 4 in × 10 in + 2 × 3.14 × (4 in)² = 251.2 in² + 100.48 in² = 351.68 in²

When rounded to one decimal place, the volume is 502.4 in³ and the surface area is 351.7 in².