Two cylinders P and Q are mathematically similar.
The total surface area of cylinder P is 90pi cm^2
The total surface area of Cylinder Q is 810pi cm^2
The length of cylinder P is 4cm
Work out the length of cylinder Q
Method NOT answer please
Two cylinders P and Q are mathematically similar.
The total surface area of cylinder P is 90pi cm^2
The total surface area of Cylinder Q is 810pi cm^2
The length of cylinder P is 4cm
Work out the length of cylinder Q
Method NOT answer please
$\displaystyle \dfrac{810}{90} = 9 $
The area has increased 9 times.
for a square:
if you double the sides you get 4 times the area.
if you triple the sides you get 9 times the area (see above)
if you quadruple the sides you get 15 times the area.
Since area is defined in square units, the length has increased by $\displaystyle \sqrt{9} = 3 $Two cylinders P and Q are mathematically similar.
If the length of cylinder P is 4 then the length of cylinder Q would be 4*3.
You can compute the radius for cylinder P from the infomation given.
Then multiply by 3 to get dimensions for cylinder Q.
Does that make sense?
.
Careful here! I and, I think, most people, would interpret "increased by 3" as meaning "+ 3". It would be better to say "multiplied by 3".
[qote]If the length of cylinder P is 4 then the length of cylinder Q would be 4*3.
You can compute the radius for cylinder P from the infomation given.
Then multiply by 3 to get dimensions for cylinder Q.
Does that make sense?
.[/QUOTE]