Question

1x 5 = 5
38.
VI. Answer the following:
A milk tank is in the shape of cylinder with hemisphere of same
radii attached to both ends of it as shown in figure. If the total
height of the tank is 6m and the radius is 1m. Calculate the
maximum quantity of milk filled in the tank in litres. Andal
calculate the total surface area of the tank.
bm
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Answer 1

Answer:

sorry I didn't study this

Answer 2

Answer:

V = 16π/3 m³

TSA = 12π m²

Step-by-step explanation:

height of cylinder = 4m

So the volume of the container is the sum of the volumes of the cylinder and the 2 hemispheres.

r = 1

h = 4

then volume , V =

$\pi {r}^{2} h + 2 \times \frac{2}{3} \pi {r}^{3}$

$= \pi {r}^{2} h + \frac{4}{3} \pi {r}^{3}$

$= \pi {r}^{2} (h + \frac{4}{3} r)$

$= \pi {r}^{2} (4 + \frac{4}{3} ) = \pi \times \frac{16}{3}$

TSA =

$2\pi rh + 2 \times 2\pi {r}^{2}$

$= 2\pi rh + 4\pi {r}^{2}$

$= 2\pi r(h + 2r)$

$= 2\pi \times 6 = 12\pi$