Answer:
D)Increase the height so that the slant height quadruples.
Step-by-step explanation:
Given that a cone undergoes changes in height or radius or slant height.
We have to find which change will quadruple the lateral surface area of cone.
Lateral surface area of cone =
Thus depends on radius and slant height
Let us check one by one options
A) When radius quadruples by increasing slant height we find lateral SA
will change more than quadruples because of change of slant height. Hence wrong.
B) When we quadruple the height 4 times, slant height will not be quadrupled exactly hence option is wrong.
C) If both radius and height are quadrupled then LSA will become 16 times the original hence false.
D) When we increase the height so that slant height quadruples, then radius will be the same, thus making LSA = 4 times the original
Option D is right.
Answer:
250π
1000π
Step-by-step explanation:
(refer to attached)
volume of cylinder is given by:
V = π r²h,
where r = radius of base and h = height of cylinder
Given r = 5 and h = 10, hence
V = π r²h
V = π (5)²(10)
V = π (25) (10)
V = 250π (answer)
For the second case, r = 10 cm
V = π r²h
V = π (10)²(10)
V = π (100) (10)
V = 1000π (answer)
