Question
[∛(91125/19683 )- ∛(3375/5832 ) ] ×
∛(512/9261) = ? - √(484/3969) What will come in the place of question mark (?) in the following given question:Solution
[∛(91125/19683 )- ∛(3375/5832 ) ] × ∛(512/9261) = ? - √(484/3969) (45/27- 15/18) × 8/21 = ? - 22/63 (5/3- 5/6) × 8/21 = ? - 22/63 5/6 ×8/21 =? - 22/63 20/63 + 22/63 = ? ? = 42/63 = 2/3
- A hollow cylindrical drum has an internal radius of 4.8 cm. If its length is 18 cm and the thickness is 2.5 cm, calculate the volume of the drum. (Use π =...
The measure of an angle is one-third of its supplementary angle. Find its measure.
In a triangle, the lengths of the sides are proportional to 4, 3, and 5. If the area of this triangle is 216 square centimeters, determine the triangle'...
On a rectangular wall of length 21 metres and height 18 metres, there is a window in the shape of triangle surmounted on a square. If the base of triang...
Which shape has a larger volume?
I) A rectangular cuboid with dimensions 5 cm, 9 cm, and 10 cm
II) A cube with a side length of 8 cmA solid hemisphere of diameter 8 cm is placed over a cube whose side is 7 cm. Calculate the total surface area of the combined structure. [Use π = 3]
- Find the diameter of the incircle of a triangle whose semi-perimeter is 18 cm and area is 54 cm².
If the area of a rhombus is 18954 m² and the ratio of the diagonals is 27: 39, then find the length of the shorter diagonal.
The perimeter of a rectangular field is 42 metres and its area is 108 m2 . What is the length of the diagonal of this field?
The radius of a sphere is 75% of the radius of a cylinder, while the height of the cylinder is 25% greater than its radius. Determine the ratio of the v...
