+91-87964 74404
FlagBACK
Question icon
Grade 12Algebra

A spherical iron ball 10 cm in radius is coated with a layer of ice of uniform thickness than melts at a rate of 50 cm3/min. When the thickness of ice is 5 cm, then the rate at which the thickness of ice decreases, is ?

Profile image of sudhanshu
12 Years agoGrade 12
Answers icon

1 Answer

Profile image of Jitender Singh
12 Years ago
Ans:
Let the thickness of ice to be ‘a’ at any instant ‘t’.
Volume ‘V’:
V = \frac{4}{3}\pi (10+a)^{3}
\frac{\partial V}{\partial t} = 4\pi (10+a)^{2}.\frac{\partial a}{\partial t} = 50 \frac{cm^{3}}{min}
4\pi (10+5)^{2}.\frac{\partial a}{\partial t} = 50 \frac{cm^{3}}{min}
\frac{\partial a}{\partial t} = \frac{1}{18\pi } \frac{cm}{min}
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

Other Related Questions on algebra

question mark
What is a binomial expression?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
1 Answer Available

Last Activity: 3 Years ago

question mark
Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?
algebra
1 Answer Available

Last Activity: 3 Years ago