Question

A medicine capsule is in the shape of a cylinder with two hemisphere stuck to each of its ends. The length of the entire capsule is 14mm and diameter of the capsule is 5mm. Find volume of the capsule.

Answer 1

Volume = πr2h

22/7 x 2.5 x 2.5 x 14

1099.56 Ans
Here

Answer 2

Radius of each hemisphere, r = $\sf{\frac{5}{2}mm}$

Length of cylindrical position,

$\longrightarrow$$\sf{h = 14mm - (r + r)}$

$\longrightarrow$$\sf{(14 - ( \frac{5}{2} + \frac{5}{2} ))mm}$

$\longrightarrow$$\sf{9mm}$

Total surface area of the capsule,

$\longrightarrow$ CSA of the cylinder + 2 × CSA of the hemisphere

$\longrightarrow$$\sf{2\pi \: rh \times 2\pi \: {r}^{2} = 2\pi \: r(h + 2r)}$

$\longrightarrow$$\sf{2 \times \frac{22}{7} \times \frac{5}{2} (9 + 2 \times \frac{5}{2} ) {mm}^{2} }$

$\longrightarrow$$\sf{ \frac{110}{7} \times {14mm}^{2} }$

$\longrightarrow$${\boxed{\sf{\red{{220mm}^{2}}}}}$