jee-main 2020 Q64

jee-main · India · session1_09jan_shift1 Connected Rates of Change Reverse-Engineering a Geometric Quantity from Given Rates

A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness that melts at a rate of $50 \mathrm {~cm} ^ { 3 } / \mathrm { min }$. When the thickness of ice is 5 cm , then the rate (in $\mathrm { cm } / \mathrm { min }$.) at which of the thickness of ice decreases, is:
(1) $\frac { 5 } { 6 \pi }$
(2) $\frac { 1 } { 54 \pi }$
(3) $\frac { 1 } { 36 \pi }$
(4) $\frac { 1 } { 18 \pi }$

A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness that melts at a rate of $50 \mathrm {~cm} ^ { 3 } / \mathrm { min }$. When the thickness of ice is 5 cm , then the rate (in $\mathrm { cm } / \mathrm { min }$.) at which of the thickness of ice decreases, is:\\
(1) $\frac { 5 } { 6 \pi }$\\
(2) $\frac { 1 } { 54 \pi }$\\
(3) $\frac { 1 } { 36 \pi }$\\
(4) $\frac { 1 } { 18 \pi }$

Paper Questions

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