An iron sperical ball of volume `232848 cm^(3)` has been melted and converted into a cone with the vertical angle of `120^(@)`. What are its height and base?

A ball of mass (m) is thrown vertically up. Another ball of mass 2 m is thrown at an angle theta with the vertical. Both of them stay in air for the same period of time. What is the ratio of the height attained by two balls.

The curved surface area of a cone is 4070 cm^2 and its diameter is 70 cm . What is its slant height ?

A player throws a ball upwards with an initial speed of 29.4 ms^(-1) (a) What is the direction of acceleration during the upward motion of the ball ? (b) What are the velocity and acceleration of the ball at the highest point of its motion ? (c) Choose the x = 0 m and t=0 s to be the location and time of the ball at its highest point vertically downward direction to be the positive direction of x-axis and give the signs of position, velocity and acceleration of the ball during its upward and downward motion. (d) To what height does the ball rise and after how long does the ball return to the player's hands ? (Take g = 9.8 ms^(-2) and neglect air resistance).

Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height h and semi vertical angle alpha is one - third that of the cone and the greatest volume of cylinder is (4pi)/(27)h^(3) tan^(2)alpha .

A metal cuboid of dimension 22 cm xx 15 cm xx 7.5 cm , was melted and cast into a cylinder of height 14 cm .What is its radius?

A player throwsa a ball upwards with an initial speed of 29.4 ms^(-1) . (i) What is the direction of acceleration during the upwared motion of the ball? (ii) What are the velocity and acceleration of the ball at the highest point of its motion? (iii) Choose the x=0 and t=0 to be the location and time of the ball at its highest point, vertically downward direction to be the positive direction of X-axis, and give the signs of positive, velocity and acceleration of the ball during its upward, and downward motion. (iv) To what height does the ball rise and after how long does the ball return to the player's hand?( Take g =9.8 ms^(-2) , and neglect air resistance).

The base area of a cone is 38.5cm^(2) .Its volume is 77 cm ^(3) Find its height .

A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter 4 (2)/3 cm and height 3cm. Find the number of cones so formed.

Water comes out from a conical funnel at the rate of 5 cm^(3)//s . When the slant height of a water cone is 4 cm, find the rate of decrease of slant height of a water cone. The semi vertical angle of a conical funnel is (pi)/(3) .

The volume of a cuboid is 1200 cm ^(3) The length 15 cm .and breadth is 10 cm , Find its height