Mathematics
An eye drop bottle is prepared consisting of a hemisphere, a cylinder and a conical cap, as shown in the given diagram. Height of the cylindrical and conical parts are each, equal to the diameter (7 cm). Find the : (a) minimum height of the cylindrical box required to pack this bottle. (b) volume of the liquid medicine (shaded part) in the bottle. Give your answer to the nearest whole number. (Use π = )
Related Questions
In the given diagram, O is the centre of the circle and the tangent DE touches the circle at B. If ∠ADB = 32°. Find the values of x and y.
The polynomial kx3 + 3x2 − 11x − 6 when divided by (x + 1), leaves a remainder of 6.
(a) Find the value of k.
(b) Using the value of k factorise completely the polynomial kx3 + 3x2 − 11x − 6.
Use ruler and compass for the following construction:
(a) construct an equilateral triangle ABC of side 5 cm.
(b) construct the circumcircle of ΔABC.
(c) construct the locus of points which are equidistant from AB and BC. Mark the point where the circumcircle and locus meet, as D.
(d) give the geometrical name of quadrilateral ABCD.
Prove that :
(sec θ − cos θ)(cosec θ − sin θ) = sin θ cos θ