An edge of a variable cube is increasing at the rate of 2 cm/s. How fast is the volume of the cube increasing when the edge is 12 cm long?
Let x be the length of a side and V be the volume of the cube. Then, v = x3. dV/dt = 3x2 × dx/dt It is given that dx/dt = 2 cm/s dv/dt = 3x2(2) = 6x2 Thus, when x = 12 cm dv/dt = 6 (12)2 = 864 cm3/s
The curved surface area of a hemisphere is 72π cm2, then its radius is:
Two sides of the triangle are 14.8 cm and 10 cm. If height of the triangle corresponding to 14.8 cm side is 8 cm find the area?
...A square and a rhombus lie on a common base and the rhombus is inclined at an angle of 30° with the base. Find the ratio of the areas of the square and...
Find how many cubes of side 1 cm each can be made by melting a cuboid with dimensions 20cm × 40cm × 5cm?
Cost of two types of pulses is Rs.25 and Rs, 30 per kg, respectively. If both the pulses are mixed together in the ratio 2:3, then what should be the pr...
The volume of water measured on a rectangular field 400m `xx` 200m is 8000 . Find the depth (amount) of rain that has fallen.
If the perimeter of a square is 88 cm and the circumference of a circle 88cm, then which figure has larger area and by how much?
The area of a square is 729 cm2 which is 48 cm2 less than that of a rectangle. Find the perimeter of the rectangle if the length o...
Mr. Shiva invested equal amount of money in two private firms which gives 15% simple interest per annum for 3.5 years and 5 years respectively. If the d...
A wire is moulded into a circle of radius 21 m. Then the wire is bent and shaped into a rectangle of length 36 m. Find the area of the rectangle thus fo...