perfect solution and answer to get 50 points ..
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since , we know that
original volume of cone = πr^2h / 3
since , the radius and height of cone increased by 10% then
Find the new radius:
----------------------------
new radius = r + 10% of r = r + 0.1r = 1.1r
Find the new height :
-----------------------------
new height = h + 10 % of h = 1.1h
Find the new volume:
------------------------------
new volume = π ( 1.1r )^2 ( 1.1h ) / 3
= 1.331 πr^2h / 3
Find the increase:
------------------------
increase = new volume - original volume
= (1.331 πr^2h/ 3 ) - ( πr^2h / 3 )
= πr^2h /3 ( 1.331 - 1 )
= 0.331 πr^2h/ 3
Find the increase% :
----------------------------
increase % =(increase × 100)/ original volume
= [ (0.331πr^2h /3 ) × 100 ] / (πr^2h / 3 )
= 0.331 × 100 = 33.1 %
Answer :
------------
volume of cone will be increased by 33.1 %
original volume of cone = πr^2h / 3
since , the radius and height of cone increased by 10% then
Find the new radius:
----------------------------
new radius = r + 10% of r = r + 0.1r = 1.1r
Find the new height :
-----------------------------
new height = h + 10 % of h = 1.1h
Find the new volume:
------------------------------
new volume = π ( 1.1r )^2 ( 1.1h ) / 3
= 1.331 πr^2h / 3
Find the increase:
------------------------
increase = new volume - original volume
= (1.331 πr^2h/ 3 ) - ( πr^2h / 3 )
= πr^2h /3 ( 1.331 - 1 )
= 0.331 πr^2h/ 3
Find the increase% :
----------------------------
increase % =(increase × 100)/ original volume
= [ (0.331πr^2h /3 ) × 100 ] / (πr^2h / 3 )
= 0.331 × 100 = 33.1 %
Answer :
------------
volume of cone will be increased by 33.1 %
siddhartharao77:
Nice Explanation!..
Answered by
0
Answer:
THE ANSWER IS THE VOLUME IS INCREASED BY 33%
Step-by-step explanation:
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