Question
width of a lateral face on cylinder with a radius of 7 and a height of 14 explain step by step in simple terms
measurment is square inches
measurment is square inches
Answers
GPT 3.5
To find the width of a lateral face on a cylinder with a radius of 7 and a height of 14, we first need to calculate the circumference of the base of the cylinder. The formula for the circumference of a circle is 2 * π * radius. Therefore, the circumference of the base is 2 * π * 7 = 14π.
Next, we need to find the height of the lateral face. The height of the lateral face is the same as the height of the cylinder, which is given as 14 inches.
Now, we can calculate the width of the lateral face. Since the lateral face wraps around the circumference of the cylinder, the width is equal to the circumference of the base (14π) multiplied by the height of the lateral face (14). Therefore, the width of the lateral face is 14π * 14 = 196π square inches.
So, the width of the lateral face on a cylinder with a radius of 7 and a height of 14 is 196π square inches.
Next, we need to find the height of the lateral face. The height of the lateral face is the same as the height of the cylinder, which is given as 14 inches.
Now, we can calculate the width of the lateral face. Since the lateral face wraps around the circumference of the cylinder, the width is equal to the circumference of the base (14π) multiplied by the height of the lateral face (14). Therefore, the width of the lateral face is 14π * 14 = 196π square inches.
So, the width of the lateral face on a cylinder with a radius of 7 and a height of 14 is 196π square inches.