The ratio of the radius of the Base of a cylinder to it's height is7:6.if the volume of the cylinder is 294pie cm^3, then it's Base diameter is a) 1cm 2)14 cm 3)7cm 4)12cm
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hello users......
we have given that
ratio of the radius of the Base of a cylinder to it's height is7:6
and
volume of cone is 294π cm³
we have to find
diameter of the base of the cone =?
solution:-
we know that
volume of cone = πr²h /3
let
the radius be 7x and height be 6x
because they are in ratio. of 7:6
=> π×(7x)² ×6x = 294π cm³
=> 49x² ×6x = 294 cm³
=> 294 x³= 294 cm³
=> x³ = 1
=> x=1
hence
the radius of base of the cone = 7×1 = 7
then
the diameter of the base of the cone = 2×7 = 14 cm
(2) is the correct option
⭐✡ hope it helps ✡⭐
we have given that
ratio of the radius of the Base of a cylinder to it's height is7:6
and
volume of cone is 294π cm³
we have to find
diameter of the base of the cone =?
solution:-
we know that
volume of cone = πr²h /3
let
the radius be 7x and height be 6x
because they are in ratio. of 7:6
=> π×(7x)² ×6x = 294π cm³
=> 49x² ×6x = 294 cm³
=> 294 x³= 294 cm³
=> x³ = 1
=> x=1
hence
the radius of base of the cone = 7×1 = 7
then
the diameter of the base of the cone = 2×7 = 14 cm
(2) is the correct option
⭐✡ hope it helps ✡⭐
Answered by
0
Answer:
Given:
Upper base diameter, D =4 cm
Lower base diameter, d =2cm
Height, h =14 cm
So, R (upper base) =2 cm,
r(lower =1cm
Capacity of glass = Volume of frustum of cone
=
3
πh
[R
2
+Rr+r
2
]
=
3
π×14
[2
2
+2×1+1
2
]
=
3×7
22×14[4+1+2]
=
3
308
=102
3
2
cm
3
So, the capacity of the glass is 102
3
2
cm
3
Step-by-step explanation:
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