Flag 9 grade maths> If the base radius and the height of the ...
question mark

If the base radius and the height of the cone is increased by 20%, by what percentage will the volume of the cone will increase.

Srishti Nanduri , 11 Years ago
Grade 10
anser 2 Answers
Ajay Verma

Last Activity: 11 Years ago

soln::


volume of a cone = 1/3 (pi) * (radius)2*( height)
V = 1/3 (pi)* r2h
V = K r2h ; K = 1/3 (pi)

dv = k 2r * (dr)*h + k r2(dh)
dv/ v = 2 (dr/r) + dh/h

(dv/ v)* 100 = 2 (dr/r)*100 + (dh/h)*100

(dv/ v)* 100 = 2 * 20 + 20

= 60

so change in volume = 60%





Thanks and Regards,
Ajay verma,
askIITians faculty,
IIT HYDERABAD

Srishti Nanduri

Last Activity: 11 Years ago

Thanks SIr for the answer. But the answer given in the book doesnt tally with your answer. The answer given in the book is 73%.

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments