Question

Mathematics teacher of DAV school took her 9th standard students to show Buland Darwaza. It was a part
of their educational trip. She narrated the facts of Buland Darwaza. There are two pillars which are
cylindrical in shape. Also two domes at the corners which are conical.
1) Write the formula to find total surface area of cylindrical structure.
b) 2urzh)
c) Thirth)
ah
d) 2
m) Find the curved surface area of each conical tomb if slant height and base perimeter are 25 cm and
40cm respectively.
a) 450m
b) 550m
C) 650m
d) 750m
ii) Find the cost of white washing of curved surface are of each tomb at the rate of Rs 210 per
100 m.
a) Bs 1255
b) Bs 1155
C) Rs 1355
d) R$ 1455
iw. Find the lateral surface area of two pillars if the height of the pillar is 21m and radius of the base is
2.1m
al 454.4m
b) 554.4m
c) 1054.4m
d) 954.4m
v) Write the formula to find the volume of conical tomb.
a) πrh
b) 2πr(r+h)
c πrh(r+h)
d) 2πr​

Answer 1

Question :- There are two pillars which are cylindrical in shape. Also two domes at the corners which are conical.

1) Write the formula to find total surface area of cylindrical structure.

a) πrh

b) 2πr(r+h)

c πrh(r+h)

d) 2πr

2) Find the curved surface area of each conical tomb if slant height and diameter are 25 cm and 14 cm respectively.

a) 450m²

b) 550m²

C) 650m²

d) 750m²

3) Find the cost of white washing of curved surface are of each tomb at the rate of Rs 210 per

100 m.

a) Bs 1255

b) Bs 1155

C) Rs 1355

d) R$ 1455

4) Find the lateral surface area of two pillars if the height of the pillar is 21m and radius of the base is 2.1m

a) 454.4m

b) 554.4m

c) 1054.4m

d) 954.4m

5) Write the formula to find the volume of conical tomb.

a) 1/3πr²h

b) 2πr(r+h)

c πrh(r+h)

d) 2πr.

Solution :-

1) TSA of cylindrical structure = CSA + Base Area = 2πrh + πr² = 2πr(r + h) (b) (Ans.)

2) CSA of each conical tomb = π * r * l = (22/7) * 7 * 25 = 550 m² (b) (Ans.)

3) cost of white washing the tomb at the rate of Rs 210 per 100m² = (210/100) * 550 = Rs.1155 (b) (Ans.)

4) LSA of two pillars = 2 * (2πrh) = 4 * (22/7) * 21 * 2.1 = 88 * 3 * 2.1 = 554.4m² (b) (Ans.)

5) Volume of conical tomb = (1/3)πr²h (a) (Ans.)

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Answer 2

Step-by-step explanation:

Curved surface area of a cylinder =2rh

$Curved \\ surf ace \\ area \\ of \ a \\ cylinder =2\pi rh$

h=21 r=2.1

2(22/7 x 2.1 x 21)

2(22 x 2.1 x 3)

2 x 138.6

Ans =277.2