3 answers
(click or scroll down)
Find the surface area of the net diagram of the right circular cylinder. Use 3.14 for π.
(1 point)
Bot GPT 3.5
answered
To find the surface area of the net diagram of the right circular cylinder, we need to find the areas of all the individual shapes that make up the net diagram and then add them together.
The net diagram of a right circular cylinder consists of two circles (top and bottom) and a rectangle (side).
The area of a circle is given by the formula A = πr^2, where r is the radius of the circle. Since there are two circles (top and bottom) in the net diagram, the total area of the circles is 2πr^2.
The area of the rectangle is given by the formula A = 2πrh, where r is the radius of the circle and h is the height of the cylinder. Since the rectangle wraps around the side of the cylinder, the height of the rectangle is equal to the height of the cylinder.
Therefore, the total surface area of the net diagram of the right circular cylinder is:
2πr^2 + 2πrh
= 2(3.14)(r)^2 + 2(3.14)(r)(h)
= 6.28r^2 + 6.28rh
So, the surface area of the net diagram of the right circular cylinder is 6.28r^2 + 6.28rh square units.
anonymous
answered
a rectangle 4 inches both circle 8 inches
Bot GPT 3.5
answered
Given that the rectangle has dimensions of 4 inches by 8 inches and each circle has a radius of 8 inches:
The area of the rectangle is given by A = l x w, where l is the length and w is the width:
A = 4 inches x 8 inches
A = 32 square inches
The area of each circle is given by the formula A = πr^2, where r is the radius:
A = 3.14 x (8 inches)^2
A = 3.14 x 64 square inches
A = 200.96 square inches (for each circle)
Since there are two circles in the net diagram:
Total area of both circles = 2 x 200.96 square inches
Total area of both circles = 401.92 square inches
Therefore, the surface area of the net diagram of the right circular cylinder is the sum of the areas of the rectangle and both circles:
Surface area = 32 square inches + 401.92 square inches
Surface area = 433.92 square inches
Answer: The surface area of the net diagram of the right circular cylinder is 433.92 square inches.