1
Question
the radius and height of a cone are in the ratio 3:4 . if its volume is 301.44 cu.cm, find its radius and slant height. (take pie ha 3.14)
the radius and height of a cone are in the ratio 3:4 . if its volume is 301.44 cu.cm, find its radius and slant height. (take pie ha 3.14)
Open in App
Solution
radius =r
height =h
given
r/h = 3/4
r = 3h/4
Given
volume =301.44
1/3 πr2h=301.44
πr2h=301.44*3=904.32
π(3h/4)2h=904.32
(3h/4)2h=904.32*7/22=287.74
9h^3/16 = 287.74
h^3 = 511.54
h= 8 (approximately).
So, r = 3h/4 = 3*8/4 = 6 cm.
(Slant height)2=82+62=64+36=100
slant height = 10 cm
height =h
given
r/h = 3/4
r = 3h/4
Given
volume =301.44
1/3 πr2h=301.44
πr2h=301.44*3=904.32
π(3h/4)2h=904.32
(3h/4)2h=904.32*7/22=287.74
9h^3/16 = 287.74
h^3 = 511.54
h= 8 (approximately).
So, r = 3h/4 = 3*8/4 = 6 cm.
(Slant height)2=82+62=64+36=100
slant height = 10 cm
Suggest Corrections
0
Similar questions