The surface area of the cylinder is given by;
The radius of the cylinder is and the height is
Substitute the values to get;
The correct answer option is 120.
We are given a cylinder with a radius of 5 yard and a height of 7 yard and we are to find the surface area of this cylinder.
We know that the formula of the surface area of a cylinder is given by:
Surface area of cylinder =
Substituting the given values in the formula to get:
Surface Area = = 120
To solve the exercise you must add the area of the circles (which are equal) and the area of the rectangle.
(Multiply the formula of the area of a cylinder by 2, because both are equal)
The area of a circle is:
Where r is the radius
The area of a rectangle is:
Where l is the lenght and w is the width.
The lenght of the rectagle is the circumference of the circle:
Then the area of the cylinder is:
=2× × 2yd ×12yd +2××2yd×2yd
=48 yd² + 8yd²
The total surface area of the cylinder is
We substitute to obtain;
The correct answer is last option
surface area = 104 yd²
Surface area of cylinder = 2πr² + 2πrh
Where r is the radius and h is the height of cylinder
To find the surface area of cylinder
Here r = 4 yd and h = 9yd
Surface area = 2πr² + 2πrh = 2π * 4 * 4 + 2π *4 *9
= 32π + 72π = 104π yd²
Therefore the total surface area of given cylinder = 104π yd²
The correct answer is last option .
Surface area of right cylinder: 2πrh+2πr² (the first part represents area of rectangle and the second represents the area of the circles)
SA=2π(4/2)(12)+ 2π(4/2)² <-- radius is half the diameter
Hope I helped :)
rectangle, we need circunference of circle=2pir=2pi5=10pi
area=10pi times 7=70pi