Home › CBSE Class 12 (Commerce) › Mathematics › Application of Derivatives › An edge of a cube grows at 2 cm/s. How fast is t…
An edge of a cube grows at 2 cm/s. How fast is the volume increasing when the edge is 5 cm?
A30 cm³/s
B75 cm³/s
C50 cm³/s
D150 cm³/s
Answer & Solution
Correct answer: D. 150 cm³/s
V = a³ gives dV/dt = 3a²(da/dt) = 3 × 25 × 2 = 150 cm³/s.
Related questions
How fast does the area of a square change per unit change in its side when the side is 4?A differentiable function is increasing on an interval if which condition holds there?If f' changes from positive to negative as x increases through c, what does f have at c?Water enters a cylindrical tank of radius 2 m at 8 pi m^3/min. How fast does the level risA ripple's radius grows at 2 cm/s. How fast does its circumference grow?A spherical balloon gains volume at 8 pi cm^3/s. How fast does r grow when r = 2 cm?A sphere's radius is measured with a 3 percent error. What is the approximate percent erroIf y = x^2, what is dy when x = 3 and dx = 0.02?