Question

If the height of the cone is doubled then it’s volume is increased by how much

Answer 1

Answer:

if height of cone is doubled ,then volume is also doubled.

Step-by-step explanation:

For example :-

let radius of cone be '3'cm,

height of cone be '4'cm.

volume =1/3×πr^2h

=1/3×22/7×(3)^2×4

= 22/7×3×4

=22/7×12

=264/7

=37.7 cm^3

if height of cone is doubled,h='8'cm

then,

volume=1/3×πr^2h

=1/3×22/7×(3)^2×8

=22/7×3×8

=22/7×24

=528/7

=75.4 cm^3

volume increased =volume2÷volume1

=75.4÷37.7

=2

therefore-if height of cone is doubled ,then volume is also doubled.

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