If the radius of cylinder is increased from 4 cm to 16 cm and the surface area of it kept same.If its height is 4 cm, what will be its new height.?
Answers
Answer:
Step-by-step explanation:
We begin by getting the surface area of the cylinder.
That is the initial surface area.
Surface area of a cylinder is given by :
Area = 2πr^2 +2πrh
π = 3.142
Doing the substitution we have :
Area = 3.142 × 4 × 4 × 2 = 100.544 + 2 × 3.142 × 4 × 4
= 100.544 + 100.544 = 201.088 Square centimeters.
If the radius is changed to 16 cm.
The new surface area will be :
Area = 2 × 3.142 × 16 × 16 + 2 × 3.142 × 16 × h
1608.704 + 100.544h = 201.088
100.544h = 201.088 - 1608.704
100.544h = -1407.616
h = 1407.616/100.544
h = - 14 cm
Since the height is negative it means this transformation is not possible.
Answer:
Step-by-step explanation:
We begin by getting the surface area of the cylinder.
That is the initial surface area.
Surface area of a cylinder is given by :
Area = 2πr^2 +2πrh
π = 3.142
Doing the substitution we have :
Area = 3.142 × 4 × 4 × 2 = 100.544 + 2 × 3.142 × 4 × 4
= 100.544 + 100.544 = 201.088 Square centimeters.
If the radius is changed to 16 cm.
The new surface area will be :
Area = 2 × 3.142 × 16 × 16 + 2 × 3.142 × 16 × h
1608.704 + 100.544h = 201.088
100.544h = 201.088 - 1608.704
100.544h = -1407.616
h = 1407.616/100.544
h = - 14 cm
Since the height is negative it means this transformation is not possible.
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