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Maths-

General

Easy

Question

A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine is needed to fill this capsule ?

hint Hint:

The volume of sphere = $4 over 3 pi r cubed$

The correct answer is: 22.46mm3 ( approx )

Explanation:

We have given a capsule with diameter 3.5mm

We have to find the how much medicine require to fill the capsule.

Step 1 of 1:
Since the capsule is spherical in shape, the amount of medicine needed to fill the capsule is the volume of a sphere.
The volume of sphere = $4 over 3 pi r cubed$
Diameter of the spherical capsule, d = 3.5mm
Radius of the spherical capsule, r = 3.5 / 2mm = 1.75 mm
Now, the medicine is needed to fill this capsule = The volume of the spherical capsule
The medicine needed to fill this capsule = $4 over 3 pi r cubed$
= 4/3 $cross times$ 22/7 $cross times$ 1.75mm $cross times$ 1.75mm $cross times$ 1.75mm
22 .46mm³ (approx)

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