How to find h in terms of x?
Can someone please explain to me how to do question 31 a? Thank!
Can someone please explain to me how to do question 31 a? Thank!
5 Answers
Explanation:
for
the total surface area of a cylinder is the same as the total of both circular surfaces (top and bottom) and the curved surface area.
the curved surface area can be considered as a rectangle (if it were to be rolled out). the length of this rectangle would be the cylinder's height, and its width would be the circumference of a circle on the top or bottom.
the circumference of a circle is
height is
curved surface area =
the area of a circle is
area of top and bottom circles:
the total surface area of the cylinder is
we are given that the total surface area of the cylinder is
this means that
then,
in this question, the radius is actually denoted as
Explanation:
The radius of the base is
So the surface area of the curved face is
So the total surface area is
The surface area of a cylinder is:
We are given that
Flip the equation:
Multiply both sides by
Subtract x from both sides of the equation:
Explanation:
The surface area is made up of the two circles and the rectangular body
The circles area is
The height of the rectangle is
Circumference
The area of the rectangle
We are given the surface area is
So
Explanation:
The total surface area of the cylinder will be the area of its two circular ends plus the area of the outside of the cylinder.
Area of one end=
So the total area of the cylinder is
Total area of the cylinder is