Question

18. Humayun's tomb is an early example of Mughal architecture built in Delhi Built in the middle
of 16 century by his veife Haji Begum. The tomb is situated south of Purana Quila, on the
eastern edge of Delhi. It is set in the center of a garden in the classical Mughal Char Bagh
pattern. A high wall surrounds the garden on three sides. The garden is divided into four parts by
two bisecting water channel with paved walkways[khiyabans), which terminates at two gates
Its plan, besed on the description of Islamic paradise garden, is known to have inspired from the
Taj Mahal
ยาออก)
(T) 30m?
The water channel is 3m x 4m x 5m. how much water it can hold?
(0)
15m
(iii) 45m?
(iv) 60m
(a) To clean the minaret top a ladder was built. If the height of minaret is om and the
ladder needs to be placed at a distance of em from the base. The length of ladder
should be
(ii) 12m
(iii) 10m
(iv) none of these
ſby The radius of this garden is 35 m find the length of boundary
110m (ii) 220m
(INT) 330m (iv)none of these
(c) The surface area of the s herical dome is found to be 308 sqm. The radius of it will
12m
(ii) Sm
(iii) 7m
(iv) none of these
(d) There are three square flower beds of side 7m, what is the total area of these square
flower beds
98 m
(ii) 147m2
(ili) 198m2
meeverite
(iv) none of these
dorester danske​

Answer 1

Given:

A high wall surrounds the garden on three sides.

The garden is divided into four parts by  two bisecting water channel with paved walkways[khiyabans), which terminates at two gates

Its plan, based on the description of Islamic paradise garden, is known to have inspired from the  Taj Mahal

To find:

(a). The water channel is 3m x 4m x 5m. how much water it can hold?

(b). To clean the minaret top a ladder was built. If the height of minaret is "o" m and the  ladder needs to be placed at a distance of "e" m from the base. The length of the ladder  should be?

(c). The radius of this garden is 35 m find the length of the boundary

(d). The surface area of the spherical dome is found to be 308 sqm. The radius of it will?

(e). There are three square flower beds of side 7m, what is the total area of these square  flower beds?

Solution:

(a). Finding how much water can the water channel hold:

The dimensions of the water channel:

length = 3 m

breadth = 4m

height = 5 m

∴ The capacity of the water channel is,

= Volume of a cuboidal shaped water channel

= length × breadth × height

= 3 × 4 × 5

= 60 m³

Thus, the water channel can hold 60 m³ of water in it.

(b). Finding the length of the ladder:

The height of the minaret = o m

The distance between the ladder and the base of the minaret = e m

By using the Pythagoras theorem,

The length of the ladder = $\underline{\bold{\sqrt{o^2 + e^2}\:meter }}$

(c). Finding the length of the boundary:

The radius of this garden = 35 m

Therefore,

The length of the boundary of the garden is,

= Circumference of the garden

= $2\pi r$

= $2 \times \frac{22}{7} \times 35$

= $2 \times 22 \times 5$

= 220 m

(d). Finding the radius of the dome:

Let's assume "r" meter as the radius of the dome.

The surface area of the spherical dome = 308 m²

∴ $4 \pi r^2 = 308$

$\implies 4 \times \frac{22}{7} \times r^2 = 308$

$\implies r^2 = \frac{ 7 \times 308}{22 \times 4}$

$\implies r^2 = 24.5$

$\implies r = \sqrt{24.5}$

$\implies r = 4.9$ ≈ 5 m

Thus, the radius of the spherical dome will be 5 m approximately.

(e). Finding the total area of the square flower beds:

The side of each flower bed = 7 m

No. of square flower beds = 3

∴ The total area of 3 flower beds are,

= 3 × Area of each square flower bed

= 3 × (side)²

= 3 × 7²

= 3 × 49

= 147 m²

Thus, the total area of the square flower beds is 147 m².

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Also View:

A school decided to give a trophy of the best student in the class, which is the form of a cylinder mounted on a solid hemisphere with the same radius and is made from some metal. This trophy is mounted on a wooden cuboid as shown in the figure.  Suppose the diameter of the hemisphere is 24cm and the total height of the  trophy is 28cm.

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A trophy awarded to the best student in the class is in the form of a solid cylinder mounted on a solid hemisphere with the same radius and is made from some metal. this trophy is mounted on a wooden cuboids. the diameter of the hemisphere is 21cm and the total height of the trophy is 24.5cm. find the weight of metal of the used in making the trophy, if the weight of 1cm³ of the metal is 1.2g.(use π=227)

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