Question

The radii of the circular ends of a bucket of height 15 cm are 14 cm and r. If the volume of bucket is 5390 cm³, find the value of r.

Answer 1

Here is your solutions

Given :-
Thee radii of the circular ends of a bucket of

Height = 15cm

r = 14cm

volume of bucket = 5390 cm³

To find the value of r :-

we know that

volume of the bucket=1/3πh(R²+r²+Rr)

=>5390=1/3*22/7*15(196+r²+14r)

=>5390=22/7*5(196+r²+14r)

=>5390*7/110=196+r²+14r

=>49*7=196+r²+14r

=>343=196+r²+14r

=>196-343+r²+14r=0

=>r²+14r-147=0

=>r²+21r-7r-147=0

=>r(r+21)-7(r+21)=0

=>(r-7)(r+21)=0

r =7 or r = -21

we will take r= 7 (positive )

Hence

Radius (r) of bucket =7cm

hope it helps you