Question

You are studying in class IX. Your class teacher has organised an educational trip to see Taj Mahal at Agra.

You and your teacher have interest in history as well. Your teacher narrated the facts of Taj Mahal to you .

Then she showed you combinations of solid figures. There are four minarets which are cylindrical in shape and

stand at the four corners of the Taj Mahal. There is a hemispherical dome of radius 35m above a height of 7m.

(a) Write the formula to find the volume of the hemispherical portion of the dome.

(i) 2

3

3

(ii) 4

3

3

(iii) 4

3

2ℎ

(iv) 2ℎ

(b) Find the volume of the hemispherical dome of the Taj Mahal considering the radius as 35 metres.

(i) 89833.33cu.m

(ii) 49258.44 cu.m

(iii) 369500 cu.m

(iv) 266500 cu.m

(c) What will be the outer surface area of the dome taking radius as 35 meters?

(i) 7700 m2

(ii) 6600 m2

(iii) 5500 m2

(iv) 4400 m2

(d) What is the volume of the base of the Taj Mahal upto a height of 7m and length and breadth as 70m each?

(i) 46300 m2

(ii) 36900 m2

(iii) 34300 m2

(iv) 36300 m2

(e) What will be the cost of cloth of Rs. 100 per sq. m which will be used tocover the outer surface of

hemispherical dome?

(i) Rs. 440000

(ii) Rs. 550000

(iii) Rs. 770000

(iv) Rs. 660000​

Answer 1

Step-by-step explanation:

a)volume of hemisphere =. (I)

$2 \div 3\pi{r}^{3 }$b) volume of hemispherical dome=

$2 \div 3\pi r^{3}$

=2/3*22/7*35*35*35

=89833.3m3. (I)

c) csa of hemisphere =

$2\pi \: {r}^{2}$

=2*22/7*35*35

=7700m2. (I)

d) volume of base = lbh

= 7 *70*70

= 34300m3. (iii)

e) csa of hemisphere * cost per m2

= 7700*100 rs \ m2

=770000rs. (iii)

Answer 2

Answer:

1.2/3 pi r^3

2.89833.3

3.7700m2

4.34300

Step-by-step explanation: