find the total surface area of a cylinder if it's radius is 25 cm,12 cm,7.5 cm respectively
Answers
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)
\begin{gathered}\begin{array}{l}{968=2 \times \pi \times 7(7+h)} \\ {h+7=\frac{968}{2 \times \pi \times 7}} \\ {h+7=\frac{968}{2 \times \frac{23}{7} \times 7}} \\ {h+7=\frac{968}{2 \times 22}}\end{array}\end{gathered}968=2×π×7(7+h)h+7=2×π×7968h+7=2×723×7968h+7=2×22968
\begin{gathered}\begin{array}{l}{h+7=\frac{968}{44}} \\ {h+7=221} \\ {h=15 \mathrm{cm}}\end{array}\end{gathered}h+7=44968h+7=221h=15cm
The height of the cylinder is 15 cm.