4.The height of the cylinder whose radius is 7 cm and the total surface area is 968 square cm is .
Answers
Answered by
17
Step-by-step explanation:
15 cm is the height of the cylinder if the radius is 7 cm and total surface area is 968 .
Given:
Radius (r) = 7 cm
Total Surface Area =968
To find:
Height of the cylinder = ?
Solution:
The formula of total surface area of the cylinder is
Total surface area of the cylinder \bold{=2 \pi r(r+h)}=2πr(r+h)
From the given the total Surface area = 968.
Radius (r) = 7 cm
Substituting in the formula
Total surface area of the cylinder =2 \pi r(r+h)=2πr(r+h)
968=2×π×7(7+h)
h+7=
2×π×7
968
h+7=
2×
7
23
×7
968
h+7=
2×22
968
h+7=
44
968
h+7=221
h=15cm
The height of the cylinder is 15 cm.
Answered by
0
2πr(r+h)=968
⇒2×
7
22
×7(7+h)=968
⇒7+h=
44
968
⇒7+h=22
⇒h=15cm
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