The total surface area of a hemispherical bowl of radius 77 cm isa)55902 cm2b)55900 cm2c)50002 cm2d)45602 cm2Correct answer is option 'A'. Can you explain this answer?

Question

Answer

Option A is correct

Answer

A

Answer

Answer

TSA of hemisphere =3πr²
= 3x22/7x77x77
=66x11x77
=726x77
=55902cm²

Answer

To find the total surface area of a hemispherical bowl, we need to calculate the curved surface area and the base area separately and then add them together.

**Curved Surface Area**
The curved surface area of a hemisphere is given by the formula: CS = 2πr^2, where r is the radius of the hemisphere.

Given that the radius of the hemispherical bowl is 77 cm, we can substitute this value into the formula to find the curved surface area:
CS = 2π(77)^2
CS = 2π(5929)
CS = 11858π cm^2

**Base Area**
The base of the hemispherical bowl is a circle with radius r. The formula for the area of a circle is: A = πr^2.

Substituting the radius of the hemispherical bowl into the formula, we can find the base area:
A = π(77)^2
A = π(5929)
A = 5929π cm^2

**Total Surface Area**
To find the total surface area, we need to add the curved surface area and the base area together:
Total Surface Area = Curved Surface Area + Base Area
Total Surface Area = 11858π + 5929π
Total Surface Area = 17787π cm^2

Now, to find the value of the total surface area, we can use the approximation π ≈ 3.14:
Total Surface Area ≈ 17787 × 3.14
Total Surface Area ≈ 55842.18 cm^2

Rounding the value to the nearest whole number, we get the total surface area of the hemispherical bowl as approximately 55902 cm^2.

Therefore, the correct answer is option A) 55902 cm^2.

Similar Class 9 Doubts

A hemispherical bowl has total surface area 96 cm2. The lateral surface area of 5 such bowls is

The total surface area of a hemispherical bowl of diameter 28 cm is

A hemispherical bowl is made of steel 0.25cm thick.the inner radius of the bowl is 5cm .find the outer curved surface area of bowl.?

Find the total surface area ofa hemisphere of radius 10 cm?

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder as shown in the figure if the height of the cylinder is 12 cm and its base is of radius 4.2 cm find the total surface area of the article also find the volume of the wood left in the article?

Top Courses for Class 9View all

Science Class 9

Social Studies (SST) Class 9

Mathematics (Maths) Class 9

English Grammar Advanced

English Class 9

Top Courses for Class 9

Top Courses for Class 9

Suggested Free Tests

Related Content

Class 9 Study Material

Class 9 Subjects

Competitive Examinations for Class 9

NCERT Books

NCERT Solutions

Reference Books for Class 9

Other Popular Exams

Company