Question

An artist forms a spherical glass ornament that has a diameter of 6 cm. What is the volume of the ornament? Use 3.14 for π.

Answer 1

Given :

• Diameter of Spherical glass ornament is 6 cm .

To Find :

• Volume of Ornament .

Solution :

$\longmapsto\tt{Radius=\dfrac{{\not{6}}}{{\not{2}}}=3\:cm}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{\dfrac{4}{{\not{3}}}\times\dfrac{314}{100}\times{3}\times{3}\times{{\not{3}}}}$

$\longmapsto\tt{\dfrac{1256\times{9}}{100}}$

$\longmapsto\tt{\dfrac{11304}{100}}$

$\longmapsto\tt\bf{113.04\:{cm}^{3}}$

So , The Volume of the ornament is 113.04 cm³ .

________________________

• Surface Area of Sphere = 4πr²
• Volume of Sphere = 4/3 πr³
• C.S.A of Hemisphere = 2πr²
• T.S.A of Hemisphere = 3πr²
• Volume of Hemisphere = 2/3πr³

________________________

Answer 2

Answer:

Given :-

• An artist forms a spherical glass ornament that has a diameter of 6 cm.
• Use π = 3.14

To Find :-

• What is the volume of the ornament.

Formula Used :-

$\clubsuit$ Volume Of Sphere :

$\longmapsto \sf\boxed{\bold{\pink{Volume\: Of\: Sphere =\: \dfrac{4}{3}{\pi}r^3}}}$

where,

• r = Radius

Solution :-

First, we have to find the radius of the ornament :

Given :

• Diameter = 6 cm

As, we know that :

$\clubsuit$ Radius Formula :-

$\longmapsto \sf\boxed{\bold{\pink{Radius =\: \dfrac{Diameter}{2}}}}$

According to the question by using the formula we get,

$\implies\sf Radius =\: \dfrac{\cancel{6}}{\cancel{2}}$

$\implies \sf\bold{\purple{Radius =\: 3\: cm}}$

Hence, the radius of the ornament is 3 cm .

Now, we have to find the volume of the ornament :

Given :

• Radius = 3 cm
• π = 3.14

According to the question by using the formula we get,

$\implies \sf Volume\: Of\: Ornament =\: \dfrac{4}{3} \times 3.14 \times (3)^3$

$\implies \sf Volume\: Of\: Ornament =\: \dfrac{4}{3} \times 3.14 \times 3 \times 3 \times 3$

$\implies \sf Volume\: Of\: Ornament =\: \dfrac{4}{3} \times 3.14 \times 27$

$\implies \sf Volume\: Of\: Ornament =\: \dfrac{4}{3} \times 84.78$

$\implies \sf Volume\: Of\: Ornament =\: \dfrac{4}{3} \times \dfrac{8478}{100}$

$\implies \sf Volume\: Of\: Ornament =\: \dfrac{\cancel{33912}}{\cancel{300}}$

$\implies \sf\bold{\red{Volume\: Of\: Ornament =\: 113.04\: cm^3}}$

$\therefore$ The volume of ornament is 113.04 cm³.

$\rule{150}{2}$