Hi Friends ,
Question :- A triangular plate of side 3cm, 4cm, 5cm is rotated about the longest side to form a double cone. Find the ratio of volume of cones???
Question :- A triangular plate of side 3cm, 4cm, 5cm is rotated about the longest side to form a double cone. Find the ratio of volume of cones???
Add an Answer
More Questions From This User See All
Answers & Comments
3² + 4² = 5²
Hence given triangle is right triangle.
Cone1
Taking Height =4 cm
Slant height = Hypotenuse = 5
r = 3cm
Volume =
Cone2
Taking Height as 3
Radius as 4
slant height would be hypotenuse that is 5
Volume =
Ratio = 12π:16π
=
Hence ratio is 3:4
Hope I am correct brother
Answer:
answer is 9:16
step by step explanation
3^2+4^2=5^2
9+16=25
let volumes be v and v'
let h=16 cm
radius=9cm
v=1/3×22/7×9cm^2×16cm
1/3×22/7×81cm×16cm
=9504/7cm
let h=9cm
radius=16cm
v'=1/3×22/7×16cm^2×9cm
1/3×22/7×256cm×9cm
=16896/7
v/v'=16896/7×7/9504
v:v'=16:9
v':v=9:16
hope it's correct