The radius and height of a cone are in the ratio 4:3 the area of the base is 154 cm square find the are of curd surface
Answers
Answered by
28
HEY DEAR.....!!!
We have given the ratio of radius and height i.e 4 : 3
Let
Radius = 4x
Height = 3x
Slant Height = root [(4x)2 +(3x)2 ]=5x {Pythagoreus Theorem}
We know that
Area of Base = pie X radius2
154=22/7 X 16x2
--->x=1.75cm
Radius=7
Height =5.25cm
Slant Height =8.75cm
Curved Surface Area = pie X radius x slant height
=22/7 X 7 X 8.75
-->x=192.5cm2
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HOPE IT'S HELP U....!!! ☺
We have given the ratio of radius and height i.e 4 : 3
Let
Radius = 4x
Height = 3x
Slant Height = root [(4x)2 +(3x)2 ]=5x {Pythagoreus Theorem}
We know that
Area of Base = pie X radius2
154=22/7 X 16x2
--->x=1.75cm
Radius=7
Height =5.25cm
Slant Height =8.75cm
Curved Surface Area = pie X radius x slant height
=22/7 X 7 X 8.75
-->x=192.5cm2
@@@@@@@@@@@@@@@@@@@@@@@@
HOPE IT'S HELP U....!!! ☺
Answered by
7
★ Question ★
the radius and height of a cone are in ratio 4:3 . the area of the base is 154cm^{2}. find the area of curved surface.
◇ Answer ◇
radius and height =.4:3
let the unit of ratio be = x
then,
r=4x
h=3x
slant height ( length) =↓
★ Area of the base =
Now,
slant height ↓
→ C.S.A = πrl
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