Question
Quantity I: A sphere has a total
surface area of 2464 m². Calculate the sphere’s volume. Quantity II: For a cone, the sum of its radius and height is 28 m, and the ratio of the radius to the height is 11:3. Determine the cone’s volume. Quantity III: The side of a cube and the length of a cuboid are in the ratio 2:5. The cube has a volume of 64 m³. Furthermore, the ratios of the length to breadth and length to height of the cuboid are 5:3 and 5:7, respectively. Find the cuboid’s volume. For every question, evaluate the three provided quantities, compute their respective values, and analyze how they compare to each other.Solution
ATQ, Quantity I: So, 4×22/7×r×r = 2464, r = 14m So, the volume is 22/7×14×14×14×4/3 = 11498.66 m Quantity II: Radius is 28×11/14 = 22m, height is 28 - 22 = 6m So, volume is =1/3×22/7×22×22×6 = 3042.28m Quantity III: The side of the cube is 4m So, the length of the cuboid is 4×5/2 = 10m The breadth of the cuboid is 10×3/5 = 6m The height of the cuboid is 10×7/5 = 14m So, volume is 10×6×14 = 840m Quantity I > Quantity II > Quantity III
The perimeter of 4 squares is 28 cm, 36 cm, 40 cm and 56 cm respectively. What will be the area of the square having perimeter equal to sum of edges of ...
The circumference of a circle is given as 220 m. What is the area of the circle? [Use π = 22/7]
PQRS is a rectangle. T is a point on PQ such that RTQ is an isosceles triangle and PT = 5 QT. If the area of triangle RTQ is 12 √3 sq.cm, then the ar...
The area of a regular hexagon with side as 6 cm is
Mr. Arun rows a boat with the stream at 10 km/hr and against the stream in 5 km/hr. In still water, his rate of rowing in km/h is:
Ratio of length to width of a rectangular field is 5:4. If the perimeter of the field is 360 metres, then find the area (in m2) of the field.
AB is the diameter of a circle with center o. P is the point on it If the cone ∠AOP is equal to 98 degrees then ∠OBP will be.
The perimeter of a rhombus is 130 m. If one of its diagonals is 16 m, then the area of the rhombus is
In a sphere if the radius is increased by 25% then by how much percentage volume increased:
Nine cubes with each side measuring 3 cm are aligned in a straight row to build a cuboid. What is the total surface area of the resulting cuboid?
Relevant for Exams:
