Volume and curved surface area of
a cylinder are 1600π cm³ and 400π
cm² respectively. Find its TSA
Answers
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Answer:
816.4cm
Step-by-step explanation:
It is given volume of a cylinder =1650cm
πr
2
h=1650 ...(1)
It is given that curved surface area of cyliner =600cm
2πrh=660cm ...(2)
On solving (1) & (2)
2
r
=
660
1650
r=
330
1650
r=5cm
Substitute r=5 in (2), we get
2πrh=660
2.
7
22
×5×h=660
2×22×5×h=660×7
22×h=4620
h=
220
4620
h=21cm
∴ radius of cylinder =5cm
Height of the cylinder =21cm
TSA = 2πr(h+r)
TSA= 2×3.14×5(21+5)
TSA= 816.4 cm
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Step-by-step explanation:
It is given volume of a cylinder =1600cm
πr²h=1600π cm³ ...(1)
It is given that curved surface area of cyliner =600cm
2πrh=400π cm²...(2)
On dividing (1) & (2)
r=8 cm
Substitute r=8 in (2), we get
2πrh=400π
h=25 cm
TSA= 2πr(r+h)
2×8(8+25)π
528π cm²