3. The cost of painting the total outside surface of a closed cylinder at ₹3 per cm² is ₹2772. If the height of the cylinder is 2 times the radius, then
find its volume.
(a) 34,312 cm^3
(b) 3342 cm^3
(c) 2154 cm^3
(d) 2156 cm^3
Answers
Answered by
4
Answer:
Let r dm be the radius of the base and h dm be the height of the cylindrical tank.
Then, h=6r (given)
Total surfacea area =2πr(r+h)=2πr(r+6r)=14πr
2
cost of painting =Rs.(14πr
2
)×
100
60
=Rs
5
42
r
2
It is given that the cost of painting is Rs. 237.60
∴
5
42
πr
2
=237.60⇒
5
42
×
7
22
×r
2
=237.60
⇒r
2
=237.60×
42
5
×
22
7
=9⇒r=3dm
∴h=6r=18dm
Hence, volume of the cylinder =πr
2
h=(π×3×3×18)dm
3
=(
7
22
×9×18)dm
3
=509.14dm
3
Answered by
1
Step-by-step explanation:
sorry am weak in mathematics sorry
Similar questions