Subject
Quantitative Aptitude
Topic
Mensuration
Find out the ratio of the volume of a cube and volume of a ball, if the ball fits exactly inside the cube
Find out the ratio of the volume of a cube and volume of a ball, if the ball fits exactly inside the cube
ক)
2 : πখ)
π : 6গ)
6 : πঘ)
8 : πঙ)
9 : πExplanation
Let the edge of the cube and radius of the ball be x units and r units respectively As we know, the ball fits exactly inside the cube ∴ Diameter of the ball = Edge of the cube ⇒ 2r = x Now, Volume of cube = (edge) 3 = x 3 = 8r 3 volume of ball = 4/3 × π r 3 ⇒ Required ratio ⇒ Required ratio = 6 : π Hence, the ratio of volumes of the cube and that of the ball is 6 : πRelated questions
The adjacent sides of a parallelogram are 12cm and 14cm and angle between them is 60°. What is the area of the parallelogram?One of the diagonal of a rhombus is 60% of other diagonal. How many times the square of the length of the other diagonal equals the area of the rhombs?The area of trapezium, whose parallel sides are 3.0 m and 6.0 m and perpendicular distance between them is 8.0 m, is:If area of a rhombus is 225 cm2. One of the diagonal is half of the other diagonal. The sum of the diagonals would be:The perimeter of a square is one-fourth of the perimeter of a Rectangle. If the perimeter of the square is 44 cm, and the length of the Rectangle is 51 cm, what is the difference between the breadth of the Rectangle and the side of the square?Find the area of a parallelogram with base is 5 cm and altitude is 4.2 cm.Diagonals of a rhombus are 16 m and 12 m respectively. Find the area of the rhombus.What will be the length of the diagonal of that square plot whose area is equal to the area of a rectangular plot of length 64 m and breadth 49 m?