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Question 1
The Total surface area of a solid hemisphere is 2887.5 . What is its diameter?
(Take )
Question 2
Find the area of the sector of a circle of radius 6 cm, if the corresponding arc length is cm.
Question 3
The area of a circular playground is 22176 . Find the cost of fencing this ground at the rate of 50 Rs per meter:
Question 4
The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period 6:05 am and 6:40 am.
Question 5
Find the number of revolutions made by a circular wheel of area in rolling a distance of 176 m.
Question 6
To warm ships for underwater rocks, a lighthouse spreads a red-coloured light over a sector of angle to a distance of 15 km. Find the area of the sea over which the ships area warned.
Question 7
An umbrella has 8 ribs which are equally spaced (as shown in figure). Assuming to be a flat circle of radius 42 cm, find the area between the two consecutive ribs of the umbrella.
Question 8
In the given figure, is right- angled at with cm and cm. A circle with center has been inscribed inside the triangle. Find the value of , the radius of the inscribed circle.
Question 9
In the given figure , two concentric circles with centre , have radii 21 cm and 42 cm. If find the area of the shaded region.
Question 10
The radius of a sphere is equal to the radius of the base as well as the height of a right circular cylinder. If the curved surface area of cylinder is 506.5 cm2 then surface area of sphere ?
Question 11
On a circular table cover of radius 42 cm, a design is formed by a girl leaving an equilateral triangle in the middle , as shown in figure. Find the covered area of the design . ( use and )
Question 12
Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is?
Question 13
The height of a conical tent is 14 m and its floor area is . How much canvas, 1.1m wide, will be required for it ?
Question 14
Two circles touch externally and sum of their areas isand the distance between their centers is. What is the radius of larger circle:
Question 15
If a circle and a square have equal perimeters, then find the ratio of their areas?
Question 16
If a square is inscribed in a equilateral triangle of side l then what is the area of square?
Question 17
In the figure given below ABCD is a square of side 14cm, two semicircles are removed from the square. The area of shaded region is?
Question 18
The ratio of radius of two spheres is . What is the ratio of their volumes?
Question 19
The radius and slant height of cone are and respectively. What is the volume of the cone?
Question 20
Find the area swept by 14 cm long minute hand of a wall clock in minutes.
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Oct 27CDS & Defence