Question

- A hemispherical bowl of diameter 7.2 cm is
filled completely with chocolate sauce. This
sauce is poured into an inverted cone of radius
4.8 cm. Find the height of the cone if it is
completely filled.​

Answer 1

Step-by-step explanation:

Diameter of the hemispherical bowl = 7.2 cm Therefore, radius = 3.6 cm

volume of hemisphere = (2/3)*pi (7.2/2)^3

volume of cone = (1/3)*pi (4.8)^2 (h)

h = 4.05 cm.

hope it helps you.....

Answer 2

SOLUTION:-

Given:

•A hemispherical bowl of diameter is 7.2cm filled completely with chocolate sauce.

•This sauce is poured into an inverted cone of radius is 4.8cm.

To find:

The height of the cone it's completely filled.

Explanation:

•Diameter of hemispherical bowl= 7.2cm

Radius= d/2 =7.2/2

Radius= 3.6cm

According to the question:

Formula of the volume of the hemispherical bowl;

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

So,

$= > \frac{2}{3} \times \frac{22}{7} \times ( {3.6)}^{3}$

&

•Radius of the cone= 4.8cm [given]

Volume of the cone:

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

So,

$= > \frac{1}{3} \times \frac{22}{7} \times ( {4.8)}^{2} \times h$

Now,

Volume of the hemispherical bowl= volume of the cone;

$= > \frac{2}{3} \times \frac{22}{7} \times 3.6 \times 3.6 \times 3.6 = \frac{1}{3} \times \frac{22}{7} \times 4.8 \times 4.8 \times h \\ \\ = > h = \frac{2 \times 3.6 \times 3.6 \times 3.6}{4.8 \times 4.8} \\ \\ = > h = \frac{93.312}{23.04} cm \\ \\ = > h = 4.05cm$

Thus,

The height of the cone is 4.05cm.

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