Question

find the height of a cylinder whose diameter is 14cm and the total surface area is 968cm^2​

Answer 1

Answer:

Radius of Cylinder= 14/2 = 7 cm

Height of Cylinder=?

TSA of Cylinder= 2πr(r+h)

968=2π*7 (7+h)

968 = 2*22/7*7 (7+h)

968/2*22=7+ h

968/44=7+h

22=7+h

22-7=h

h= 15 cm

Hence height of Cylinder is 15cm .

Answer 2

Answer:

radius= 14/2

= 7cm

Surface Area of Cylinder =

$2\pi r(r + h)$

$2 \times 22 \div 7 \times 7(7 + h) = 968\\ \\seven \: seven \: will \: get \: canceled \: \\ 2 \times 22 (7 + h) = 968 \\ (2 \times 22 = 44) \\ (7 + h) = 968 \div 44 \\ h = 22 - 7 \\ h = 15cm$