the volume of two hemishphere are ratio 27ratio 125 . find the ratio ofv their radii
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Answered by
1
by using formula v of hemisphere= 2/3x22/7xr3
v of hemi a = r3 = 12.8
= r =2.3
v of hemi b=r3 =59.6
= r =3.9
So the ratio is 2.3:3.9
v of hemi a = r3 = 12.8
= r =2.3
v of hemi b=r3 =59.6
= r =3.9
So the ratio is 2.3:3.9
Answered by
0
Volume of hemisphere = 2/3πr³
The radius of one hemisphere = r
The radius of the second hemisphere = r '
Ratio of the volume of two hemisphere = 27 : 125 = 27 ÷ 125
2/3 πr³ ÷2 /3 π (r ')³ = 27÷125
2/3π gets cancelled ,
∴ r³ ÷ (r')³ = 27 ÷ 125
r ³ = 27
∴ r = ∛27 = 3
(r')³ = 125
∴ r = ∛125 = 5
∴he ratio of their radii = 3 :5
The radius of one hemisphere = r
The radius of the second hemisphere = r '
Ratio of the volume of two hemisphere = 27 : 125 = 27 ÷ 125
2/3 πr³ ÷2 /3 π (r ')³ = 27÷125
2/3π gets cancelled ,
∴ r³ ÷ (r')³ = 27 ÷ 125
r ³ = 27
∴ r = ∛27 = 3
(r')³ = 125
∴ r = ∛125 = 5
∴he ratio of their radii = 3 :5
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