Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.
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Answer:
The radius of the cone is 6 cm
Step-by-step Explaination:
Sphere:
radius of 1st sphere = 2 cm
radius of 2nd sphere = 4 cm
Cone :
Height = 8 cm
Two spheres are melted and recast into a cone.
Volume of 2 spheres = Volume of a cone
[ 4/3 ×π×r×r×r] = 1/3 ×π×r×r×h
[ 4/3 × 22/7 × 2 × 2 ×2 ] + [4/3 ×22/7 × 4 × 4 ×4] = 1/3 × 22/7 × r × r × 8
Kindly refer the attachment after this step.
The radius of the cone is 6 cm
Step-by-step Explaination:
Sphere:
radius of 1st sphere = 2 cm
radius of 2nd sphere = 4 cm
Cone :
Height = 8 cm
Two spheres are melted and recast into a cone.
Volume of 2 spheres = Volume of a cone
[ 4/3 ×π×r×r×r] = 1/3 ×π×r×r×h
[ 4/3 × 22/7 × 2 × 2 ×2 ] + [4/3 ×22/7 × 4 × 4 ×4] = 1/3 × 22/7 × r × r × 8
Kindly refer the attachment after this step.
Attachments:
rockingstar16:
The answer is not 10 cm it is 6 cm
are u here
the volume of the sphere is 4/3 π r³
it is not 4/3 π r²
can u reply something
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