First lets find the surface area of cone without effect
Given:
Radius of cone = 3 units
Slant height of cone = 5 units
To find:
Surface area of cone
Steps:
Surface area of a cone = πr (r + l)
= π × 3(3 + 5)
= π × 3 (8)
= π × 24
= 24π unit²
Now lets find the surface area of cone with effect
Given:
Radius of cone = 3 × 3/2 = 9/2 = 4.5 units
Slant height of cone = 5 × 3/2 = 15/2 = 7.5 units
To find:
Surface area of cone
Steps:
surface area of cone = πr(r + l)
= π × 4.5( 4.5 + 7.5 )
= π × 4.5( 12 )
= π × 54.0
= 54π
Since we know the surface area of the cones before and after affect now lets find effect
Given:
Surface area of cone before affect = 24π
Surface area of cone after affect = 54π
To find:
Effect on the surface area of cone before and after change
Steps:
By dividing the surface area of cone after and before affect will give us the effect on the cone
54π / 24π
= 54/24 (pi gets canceled out)
= 27/12
= 2.25
Therefore the area of cone is multiplied by 2.25 after effect.
Happy to help :)
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