Question

a medicine capsule is in the shape of a cylinder of diameter is 0.5 cm with two hemisphares stucks to each of its ends the length of the entire capsules is 2 cm . the capacity of the capsule is​

Answer 1

Answer:

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Step-by-step explanation:

10th

Maths

Surface Areas and Volumes

Volume of Combined Solids

A medicine - capsule is in ...

MATHS

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Asked on December 26, 2019 by

Adwitiyaa Dalvi

A medicine-capsule is in the shape of a cylinder of diameter 0.5 cm with two hemisphere stuck to each of its ends. The length of entire capsule is 2 cm The capacity of the capsule is

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ANSWER

Capacity of the medicine = Volume of both the hemispherical parts + Volume of cylindrical part

Volume of a hemisphere of radius 'r' =

3

2

πr

3

Volume of a cylindrical =πr

2

h where r is

the radius of the base of the cylinder and h is the height.

The hemisphere and the cylinder will have the same radius r =0.25cm

Since total length of the toy is 2 cm, the length of the conical part

will be 2−0.25−0.25=1.5cm

Hence, Volume of the medicine =2×(

3

2

×

7

22

×0.25

3

)+(

7

22

×0.25

2

×1.5)=

7

22

×0.25

2

(2×

3

2

×0.25+1.5)=0.36cm³