KNOWLEDGE BASED
APPLY
1 Marks
2026
AISSCE(Board Exam)
VSA
A room freshner bottle in the shape of an inverted cone sprays the perfume at regular intervals such that volume of the perfume in the bottle
decreases at the steady rate of 1 mm3/min. Find the rate at which level of
perfume is dropping at an instant when level of perfume in the bottle is
10 mm, if the semi-vertical angle of conical bottle is $\frac{\pi}{6}$
No Standard Solution Available
The teacher hasn't uploaded a solution for this question yet.
More from this Chapter
LA
The relation between the height of the plant (y cm) with respect to exposure to sunlight is governed by the equation $y=4x-\frac{1}{2}x^{2}$, where x is the number of days exposed to sunlight. (i) Find the rate of growth of the plant with respect to sunlight. (ii) In how many days will the plant attain its maximum height? What is the maximum height?
MCQ_SINGLE
Let \(f(x)=|x|\), \(x\in R\). Then, which of the following statements is **incorrect**?
MCQ_SINGLE
If \(f(x)=2x+\cos x\), then f(x):
VSA
Show that the function $f(x)=4x^{3}-18x^{2}+27x-7$ has neither maxima nor minima.
MCQ_SINGLE
The function \(f(x)=\frac{x}{2}+\frac{2}{x}\) has a local minima at x equal to:
View All Questions