Question

If the volume of an cylinder is 700 cubic centimeters and the area of the base is 100 square centimeters, what is the length of the cylinder?​

Answer 1

$\textbf{Given:}$

$\textsf{Volume of the cylinder is 700 cubic cm}$

$\textsf{Area of base of the cylinder is 100 squre cm}$

$\textbf{To find:}$

$\textsf{Length of the cylinder}$

$\textbf{Solution:}$

$\textsf{Base area of the cylinder = 100 cubic cm}$

$\implies\mathsf{\pi\,r^2=100}$

$\textsf{Volume of the cylinder = 700 cubic cm}$

$\implies\mathsf{\pi\,r^2\,h=700}$

$\implies\mathsf{100{\times}h=700}$

$\implies\mathsf{h=\dfrac{700}{100}}$

$\implies\mathsf{h=7\;cm}$

$\therefore\mathsf{Length\;of\;the\;cylinder\;is\;7\;cm}$

Answer 2

Step-by-step explanation:

$\textbf{Given:}$

$\textsf{Volume of the cylinder is 700 cubic cm}$

$\textsf{Area of base of the cylinder is 100 squre cm}$

$\textbf{To find:}$

$\textsf{Length of the cylinder}$

$\textbf{Solution:}$

$\textsf{Base area of the cylinder = 100 cubic cm}$

$\implies\mathsf{\pi\,r^2=100}⟹πr 2 =100$

$\textsf{Volume of the cylinder = 700 cubic cm}$

$\implies\mathsf{\pi\,r^2\,h=700}⟹πr2 h=700$

$\implies\mathsf{100{\times}h=700}⟹100×h=700$

$\implies\mathsf{h=\dfrac{700}{100}}⟹h=100 700$

$\implies\mathsf{h=7\;cm}⟹h=7cm$

$\therefore\mathsf{Length\;of\;the\;cylinder\;is\;7\;cm}$