Question

Diameter of a hemispherical toy is 56 cm. Find it's 1)curved surface area 2)total surface area 3)Volume​

Answer 1

Answer:

Given-

Diameter of a hemispherical toy = 56cm

therefore, radius, r = 56/2 = 28 cm

r = 28 cm

Now,

1) curved surface area of hemispherical toy

=2πr^2

= 2 × 3.142 × ( 28 )^2

=6.284 × 784

= 4926.656 cm^2

And,

2) total surface area of hemispherical toy

= 3πr^2

=3 × 3.142 × (28)^2

= 9.426 × 784

= 7389.984 cm^2

Also,

3) volume of a hemispherical toy

= 2/3 π r^3

= 2/3 × 3.142 × (28)^3

= 6.284/3 × 21952

= 45982.12267 cm^3

Answers -

1) Curved surface area of hemispherical toy is 4926. 656 cm^2.

2) Total surface area of hemispherical toy is 7389.984 cm^2.

3) Volume of a hemispherical toy is 45982.12267 cm^3

Answer 2

Answer:

The correct answer of this question is 4926.656 $cm^{2}$, 7389.984$cm^{2}$,  45982.12267 $cm^{3}$.

Step-by-step explanation:

Given - Diameter of a hemispherical toy is 56 cm.

To Find  -  Find it's curved surface area,  total surface area , Volume​

The area of solely curved surfaces, excluding the circular top and base, is referred to as the curved surface area.

Curved surface area - 2π$r^{2}$

= 2 × 3.142 × $( 28 )^{2}$

=6.284 × 784

= 4926.656 $cm^{2}$

The total surface area of a solid is the sum of the areas of all its surfaces.

Total surface area -

3π$r^{2}$

=3 × 3.142 × $(28)^{2}$

= 9.426 × 784

= 7389.984 $} cm^2$

Volume​ -

In cubic units, the amount of space occupied by a three-dimensional figure.

$\frac{2}{3}$ π $r^3$

= $\frac{2}{3}$ × 3.142 ×$(28)^3$

=$\frac{6.284}{3}$ × 21952

= 45982.12267 $cm^3$

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