the radius and the height of a cylinder are in the ratio 2:7.if the volume is 704.find the TSA
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Answers
FORMULA FOR VOLUME OF CYLINDER = pi X r^2 X h
Let the height be 2x
Radius = 7x
Volume = pi X 49x^2 X 2x = 3.14 X 98x^3 = 8316
x^3 = 8316 / 3.14*98 = 27.024567 cm
x = 3 cm
HEIGHT = 6 cm Radius = 21 cm
FORMULA FOR TOTAL SURFACE AREA = 2pirh + 2pir^2
= 2pir ( r + h)
= 2 X 3.14 X 21 X 27 = 3560.76 cm^2
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Answer:
3564 cm
Step-by-step explanation:
The radius and height of a cylinder are in the ratio 7:2. If the volume of the cylinder is 8316 cm
3
. Find the total surface area of the cylinder.
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ANSWER
Let r,h be radius & hight of cylinder
⇒volume=πr
2
h,Total surface area (T.S.A)=2πr(h+r)
Given.
h
r
=
2
7
⇒h=
7
2r
Volume =πr
2
h=8316⇒πr
2
(
7
2r
)=8316
⇒r
3
=
2×22
8316×7×7
=
2×22
7
3
×1188
=7
3
×3
3
⇒r=7×3=21cm⇒h=
7
2
×21=6cm
T.S.A=2πr=(h+r)=2×
7
22
×21(6+21)=44×3×27
=3564cm
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