MEDIUM
JEE Advanced
IMPORTANT
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The radius and height of a cylinder are equal. If the radius of the sphere is equal to the height of the cylinder, then the ratio of the rates of increase of the volume of the sphere and the volume of the cylinder is

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Important Questions on Applications of Derivatives

MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 7 - Applications of Derivatives>Target Exercises>Q 4
If the length of the diagonal of a square is increasing at the rate of 0.2 cm/s, then the rate of increase of its area when its side is 302 cm, is
MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 7 - Applications of Derivatives>Target Exercises>Q 5
The edge of a cube is equal to the radius of a sphere. If the edge and the radius increase at the same rate, then the ratio of the surface areas increases in cube and sphere is
MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 7 - Applications of Derivatives>Target Exercises>Q 6
If the semi-vertical angle of a cone is 45°, then the rate of change of volume of the cone is
MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 7 - Applications of Derivatives>Target Exercises>Q 7
If errors of 1% each are made in the base radius and height of a cylinder, then the percentage error in its volume is
MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 7 - Applications of Derivatives>Target Exercises>Q 8
If T=2πlg, then relative errors in T and l are in the ratio
EASY
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 7 - Applications of Derivatives>Target Exercises>Q 9
If loge4=1.3868, then loge4.01 equals
MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 7 - Applications of Derivatives>Target Exercises>Q 10
If a sphere of radius 100 mm shrinks to radius 98 mm, then the approximate decrease in its volume. is
MEDIUM
JEE Advanced
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 7 - Applications of Derivatives>Target Exercises>Q 11
If the ratio of base radius and height of a cone is 1:2 and percentage error in radius is λ%, then the error in its volume is