Question

a capsule of medicine is in the shape of a sphere of diameter 3.5 millimetre how much medicine is needed to fill the capsule

Answer 1

Given :

• Diameter of Capsule = 3.5mm

To Find :

• Medicine needed to fill the capsule.

Solution :

$\longmapsto\tt{Diameter=3.5mm}$

$\longmapsto\tt{Radius=\dfrac{3.5}{2}}$

Using Formula :

$\longmapsto\tt\boxed{Volume\:of\:Sphere=\dfrac{4}{3}\pi{{r}^{3}}}$

Putting Values :

$\longmapsto\tt{\dfrac{4}{3}\times\dfrac{22}{7}\times\dfrac{3.5}{2}\times\dfrac{3.5}{2}\times\dfrac{3.5}{2}}$

$\longmapsto\tt{\cancel\dfrac{539}{24}}$

$\longmapsto\tt\bold{22.46{mm}^{3}(Approx.)}$

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• Surface Area of Sphere = 4πr²
• Volume of Sphere = 4/3πr³

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Answer 2

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Given :

• Diameter of Capsule = 3.5mm

Formula :

$\longmapsto\tt\boxed{Volume\:of\:Sphere=\dfrac{4}{3}\pi{{r}^{3}}}$

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Solution  :

$\longmapsto\tt{\dfrac{4}{3}\times\dfrac{22}{7}\times\dfrac{3.5}{2}\times\dfrac{3.5}{2}\times\dfrac{3.5}{2}}$

$\longmapsto\tt{\cancel\dfrac{539}{24}}$

$\longmapsto\tt\bold{22.46{mm}^{3}(Approx.)}$

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• Surface Area of Sphere = $\boxed {4 \pi r {}^{2} }$

• Volume of Sphere = $\boxed {\frac{4}{3} \pi r {}^{3} }$

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