A hollow sphere of radius 20cm has a cylinder of height 20cm inside it. What is the maximum possible radius of the cylinder?

- A 10 cm
- B 10√3 cm
- C 20 cm
- D 10√2 cm

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A hollow sphere of radius 20cm has a cylinder of height 20cm inside it. What is the maximum possible radius of the cylinder?

- A 10 cm
- B 10√3 cm
- C 20 cm
- D 10√2 cm

46 Attempts
1 Comment

A right circular cone of radius 4 cm and slant height 5 cm is carved out from a cylindrical piece of wood of same radius and height 5cm the surface area of remaining wood is

4 Thanks
5 Comments

Udit 1 year ago

76pi

help plz

1 Thanks
5 Comments

Divya Mani Tripathi 1 year ago

2(l + b) = p => p = (l+b)/2 ---(1)

l^2 = b*p (G.P.) => p = (l^2)/b ---(2)

from (1) and (2)

l^2 = 2lb + 2b, dividing by lb

(l/b) - (2b/l) = 2 => (l/b) - 2/(l/b) = 2

Put values for (l/b) from options and check.

l^2 = b*p (G.P.) => p = (l^2)/b ---(2)

from (1) and (2)

l^2 = 2lb + 2b, dividing by lb

(l/b) - (2b/l) = 2 => (l/b) - 2/(l/b) = 2

Put values for (l/b) from options and check.

there are two rectangular field of same area the length of first rectangular field is x % less than that of length of second field and bredth of first is 5x % greater then breadth of second field . find x ?

2 Thanks
3 Comments

Divya Mani Tripathi 1 year ago

[L - (x/100)L]*[B + (5x/100)B] = LB

[(100-x)/100]L * [(100+5x)/100]B = LB

Solve for x.

[(100-x)/100]L * [(100+5x)/100]B = LB

Solve for x.

What is the area of a square whose vertices lie on the sides of an equilateral triangle of side 1 cm?

- A 4 - 2root3
- B 7 - 4root3
- C 21 - 12root3
- D 21 - 4root3
- E None

22 Attempts
2 Comments

Struck with this Geometry Problem :)

The sides of a regular decagon are extended to form a star. Find the measure of the internal angle at each point of the star.

- A 72
- B 108
- C 144
- D 145

20 Attempts
2 Comments

Ajay and Amar inherited a rectangular field of area 1000 sq.m. If they decide to split the land into / two halves by dividing it with a single straight line, then find the approximate minimum cost that Ajay would have to incur to fence his half of the land at the rate of Re.1 per metre. Assume that Ajay bears the complete cost of fencing the common boundary.

- A 67 Rs
- B 90
- C 95
- D 112
- E 81

1 Thanks
27 Attempts
1 Comment

A solid cube is cut into three solids such that two of them are cuboids with two dimensions exactly half of the bigger cube and the third dimension same as the original cube. The third solid has two dimensions same as the original cube. Find the ratio of total surface area of the smaller cuboids and the other solid.

- A 5:8
- B 3:5
- C 5:12
- D 6:5

19 Attempts
1 Comment

Two identical circles intersect so that their centres, and the points at which they intersect, form a

square of side 1 cm. The area in sq. cm of the portion that is common to the two circles is

- A pi/4
- B pi/2 -1
- C pi/5
- D root2 - 1

12 Attempts
2 Comments

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