Question
A cylinder of radius 12 cm containing water reduces its
water level by 1 cm when a fully immersed hemi spherical ball is removed from this cylindrical container then find the radius of removed spherical ball.Solution
The radius of spherical ball is r cm. From the question, Volume of the hemi sphere = Volume of the 1 cm reduced cylindrical part 
Two chords of a circle 'PQ' and 'RS' crosses each other at an exterior point 'O'. Determine the length of the chord 'RS' if the chord PQ is 36 cm long, ...
A metal wire when bent in the form of a square encloses an area 1089 cm 2 , if the same wire is bent in the form of a circle, then its area is?
- AB is the diameter of a circle centered at O. A tangent drawn at point C intersects the extension of AB at point D. If ∠CAB = 38°, find the value of ∠...
- The area of a rhombus is 1,600 cm², and the lengths of its diagonals are in the ratio 5:4. A circle is constructed with the smaller diagonal as the diamet...
- The circumference of a circle is 176 cm while the length of the rectangle is 9 cm more than the radius of the circle. Find the perimeter of the rectangle i...
- Find the area of a circle whose radius is (3/4)ᵗʰ of the side of a square whose area is 1,600 cm². (Use π = 3.14)
Two circles of radii 15 cm and 10 cm touch each other externally at a point A. PQ is the direct common tangent of those two circles of centers O ₁ and...
In a triangle, PT is tangent and PAB is secant which cuts on a circle at points A & B. If PT= 12 cm, PA= 8 cm then find the legth of AB.
A circle touches all four sides of a quadrilateral. If AB = 18 cm, BC = 21 cm, and AD = 15 cm, then what is the length of CD?
What is the perimeter of the square inscribed in a circle of radius 6 cm.
