Cone hemisphere and cylinder in volume radius and height are equal find its rao
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for cone-
V = 1/3 × π×r^2×h
for hemisphere-
V = 2/3×π×r^3
for cylinder-
V = π×r^2×h
ratio = cone: hemisphere: cylinder
= h: 2r: 3h
V = 1/3 × π×r^2×h
for hemisphere-
V = 2/3×π×r^3
for cylinder-
V = π×r^2×h
ratio = cone: hemisphere: cylinder
= h: 2r: 3h
Answered by
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Hola!!
Here's your answer:
Given:
Cone, hemisphere and cylinder have equal height and radius
Therefore r = h
To find:
Ratio of volume of cone, cylinder and hemisphere
Solution:
Volume of cone : volume of cylinder : volume of hemisphere
1/3πr^2h : πr^2h : 2/3πr^2h
1/3πr^2×r : πr^2×r : 2/3πr^2×r ( putting r in the place of h because r = h)
1/3πr^3 : πr^3 : 2/3πr^3
1/3 : 1 : 2/3 ( πr^3 gets cancelled)
1/3 ×3 : 1 ×3 : 2/3 ×3 ( as ratio cannot be in fractions it is necessary to multiply by 3)
1 : 3 : 2
hope this helps ☺️
plz mark as brainliest!!
Here's your answer:
Given:
Cone, hemisphere and cylinder have equal height and radius
Therefore r = h
To find:
Ratio of volume of cone, cylinder and hemisphere
Solution:
Volume of cone : volume of cylinder : volume of hemisphere
1/3πr^2h : πr^2h : 2/3πr^2h
1/3πr^2×r : πr^2×r : 2/3πr^2×r ( putting r in the place of h because r = h)
1/3πr^3 : πr^3 : 2/3πr^3
1/3 : 1 : 2/3 ( πr^3 gets cancelled)
1/3 ×3 : 1 ×3 : 2/3 ×3 ( as ratio cannot be in fractions it is necessary to multiply by 3)
1 : 3 : 2
hope this helps ☺️
plz mark as brainliest!!
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