Question

The surface area of 3D shapes
Find the height of a cylinder whose radius is 7 cm and the total surface
area is 968 sq.cm.

Answer 1

$\huge\boxed{\fcolorbox{cyan}{orange}{SOLUTION:}}$

Radius = 7 cm

Total surface area = 968

$= 2\pi r \: (r + h) = 968 \\ = 2 \times \frac{22}{</u><u>\cancel</u><u>7} \times </u><u>\cancel</u><u>7(7 + h) = 968 \\ = 44(7 + h) = 968 \\ = 7 + h = \frac{</u><u>\cance</u><u>l</u><u>9</u><u>\cancel</u><u>6</u><u>\cancel</u><u>8}{</u><u>\cancel</u><u>4</u><u>\cancel</u><u>4} = </u><u>\cancel</u><u>2</u><u>\cancel</u><u>2 = </u><u>\cancel</u><u>4</u><u>\cancel</u><u>8</u><u>\cancel</u><u>4 = 22 \\ = 7 + h = 22 \\ = </u><u>H</u><u>eight = 22 \\ = </u><u>H</u><u>e</u><u>ight = 22 - 7 \\ = </u><u>H</u><u>eight = 15$

The height of cyclinder = 15 cm

Answer 2

Step-by-step explanation:

total surface area of cylinder=2πr(r+h)

968=2×3.14×7(7+h)

968=2×3.14×49h 968=6.28×49h 968-6.28=7h. 961.72=7h

h=961.72/7

h= 138.2457142857....….