The volume of a sphere is increasing at a rate \( 16 \mathrm{~m}^{3} / \mathrm{s} \). How fast i....

Channel:
PW Solutions
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=HfX8KO_dI3E


Duration: 2:28
0 views
0

The volume of a sphere is increasing at a rate \( 16 \mathrm{~m}^{3} / \mathrm{s} \).
\( \mathrm{P} \)
How fast is the surface area increasing when its radius
W
is \( 6 \mathrm{~m} \) ?
(1) \( 8 / 3 \mathrm{~m}^{2} / \mathrm{s} \)
(2) \( 10 / 3 \mathrm{~m}^{2} / \mathrm{s} \)
(3) \( 12 / 3 \mathrm{~m}^{2} / \mathrm{s} \)
(4) \( 16 / 3 \mathrm{~m}^{2} / \mathrm{s} \)


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2024-01-22The interval in which the function ' \( f \) ' given by \( f(x)=e^{x}\left(x^{2}-3\right) \) is ....
2024-01-22A particle moves along the curve \( 2 y=3 x^{2}+4 x \). The point on the curve at which the \( y....
2024-01-22Consider a matrix \( A=\left[a_{i j}\right] \) of order \( 3 \times 3 \) such that \( a_{i j}=(k....
2024-01-22The total revenue in Rupees received from the sale of ' \( x \) ' units of a product is given by....
2024-01-22\( A=\left[\begin{array}{ll}0 & 1 \\ 3 & 0\end{array}\right] \) and \( \left(A^{8}+A^{6}+A^{4}+A....
2024-01-22Match of following lists: \begin{tabular}{|l|l|l|l|} \hline & \begin{tabular}{l} List I (A, B, C....
2024-01-22The length ' \( a \) ' of a rectangle is decreasing at the rate \( 8 \mathrm{~cm} / \mathrm{s} \....
2024-01-22If \( \left[\begin{array}{cc}a & b \\ c & 1-a\end{array}\right] \) is an idempotent matrix and \....
2024-01-22If \( A=\left[\begin{array}{lll}3 & -3 & 4 \\ 2 & -3 & 4 \\ 0 & -1 & 1\end{array}\right] \), the....
2024-01-22The area of circle is decreasing at a rate \( 10 \mathrm{~cm}^{2} / \mathrm{s} \). How fast is t....
2024-01-22The volume of a sphere is increasing at a rate \( 16 \mathrm{~m}^{3} / \mathrm{s} \). How fast i....
2024-01-22Which of the following is true?....
2024-01-22Find the rate of change of the area of a square per second with respect to its edge ' \( a \) ' ....
2024-01-22Let \( A \) be a matrix of order \( 2 \times 2 \) such that \( A^{2}=0 \). \[ (I+A)^{100}= \] W.....
2024-01-22Let \( A \) be a matrix of order \( 2 \times 2 \) such that \( A^{2}=0 \). \( A^{2}-(a+d) A+(a d....
2024-01-22Let \( A \) be a matrix of order \( 2 \times 2 \) such that \( A^{2}=0 \). \( \operatorname{tr}(....
2024-01-22Which of the following determinant(s) vanish(es)?....
2024-01-22If \( \left(\begin{array}{cc}1 & -\tan \theta \\ \tan \theta & 1\end{array}\right)\left(\begin{a....
2024-01-22If \( \left[\begin{array}{cc}\cos \frac{2 \pi}{7} & -\sin \frac{2 \pi}{7} \\ \sin \frac{2 \pi}{7....
2024-01-22If \( Z \) is an idempotent matrix, then \( (I+Z)^{n} \)....
2024-01-21If \( A \) and \( B \) are squares matrices such that \( A^{2006}=O \) is \( A B=A+B \). then \(....