Question

Find the total surface area of a hemisphere and a solid hemisphere each of radius 10 cm. (Use π = 3.14)

Answer 1

The total surface area of hemisphere is 628 square centimeter and total surface area of solid hemisphere is 942 square centimeter

Solution:

Radius = 10 cm

Find the total surface area of hemisphere:

$\text{ total surface area of hemisphere } = 2 \pi r^2\\\\\text{ total surface area of hemisphere } = 2 \times 3.14 \times 10^2\\\\\text{ total surface area of hemisphere } = 6.28 \times 100\\\\\text{ total surface area of hemisphere } = 628\ cm^2$

Find the total surface area of solid hemisphere:

$\text{ total surface area of solid hemisphere } = 3 \pi r^2\\\\\text{ total surface area of solid hemisphere } = 3 \times 3.14 \times 10^2\\\\\text{ total surface area of solid hemisphere } = 9.42 \times 100\\\\\text{ total surface area of solid hemisphere } = 942\ cm^2$

Learn more about this topic

Find the total surface area of a hemisphere and a solid hemisphere each of radius 10 cm.

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Find the total surface area of a hemisphere of radius 10 cm. [Use π = 3.14]

https://brainly.in/question/1429695

Answer 2

Given:-

• Solid hemisphere each of radius 10 cm.

To find:-

• Find the total surface area of a hemisphere.?

Solutions:-

• Radius of the hemisphere = 10cm

Now,

The total surface area of a hemisphere = 2πr²

= 2(3.14) (10)²

= 6.28 × 100

= 628cm²

The total surface area of the hemisphere is 628cm²

Also,

The total surface area of the solid hemisphere

= 2πr² + πr²

= 2(3.14)(10)² + (3.14)(10)²

= 2 × 3.14 × 100 + 3.14 × 100

= 6.28 × 100 + 314

= 628 + 314

= 942cm²

Hence, the total surface area of the hemisphere is 942cm².

Some Important:-

• The surface area of a sphere = 4πr²
• The curved surface area of hemisphere = 2πr²
• The total surface area of hemisphere = 3πr²
• The volume of the sphere = 4/3 πr²
• The volume of the hemisphere = 2/3 πr²