Question

A hemisphere whose diameter is 4cm made of wood. Ifa
cone cut out of this hemisphere, whose base is also 4cm.
diameter. Find the volume of wood in hemisphere.​

Answer 1

Answer:

A hemisphere whose diameter is 4 cm, made of wood If a cone cut out of this hemisphere whose base is also 4 cm diameter Find the volume of wood in hemisphere ...

Answer 2

Answer:

kindly see the answer below....

Step-by-step explanation:

Here,

$volume \: of \: the \: total \: hemisphere$

$= \frac{2}{3} \pi {r}^{3}$

$= \frac{2}{3} \pi {2}^{3}$

$= 16.76 \: {cm}^{3}$

then,

$volume \: of \: the \: cone$

$= \frac{1}{3}\pi {r}^{2}h$

$= \frac{1}{3} \pi {2}^{2} \times 2$

$= 8.38 {cm}^{3}$

therefore,

$the \: volume \: of \: the \: left \: wood \: in \: the \: hemisphere$

$= volume \: of \: hemisphere - volume \: of \: cone$

$= 16.76 - 8.38$

$= 8.38 {cm}^{3}$

so, the volume of the left wood in the hemisphere is equal to the volume of the cone =8.38 cm3....

thanks a lot..... hope it help u..