The radii of the circular ends of a bucket of height 15cm are 14cm and r cm (r<14cm).
If the volume of bucket is 5390cm, find the value of r.
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Answer:
Step-by-step explanation:
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
=0=196-343+r²+14r
=0=r²+14r-147
=r²+21r-7r-147=0
=r(r+21)-7(r+21)=0
=(r-7)(r+21)=0
r=7 or -21(rejected)
hence r=7
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