The volume of a cylinder of base area 11 sq. cm and height 11 cm is:
Answers
Step-by-step explanation:
Given :-
→ Area of the base of a Cylinder = 11 cm²
→ Height of the Cylinder = 7 cm
To Find :-
→ Volume of that Cylinder
Solution :-
\underline{\bf{\dag} \:\mathfrak{As\;we\;know\: that\: :}}†Asweknowthat:
\star\: \boxed{\sf{\blue{ Area\;of\;base=\pi r^{2}}}}⋆Areaofbase=πr2
→ Let's find out the radius by putting the values in this formula !
\sf \implies \pi r^{2} = 11⟹πr2=11
\sf \implies \dfrac{22}{7} \times r^{2} = 11⟹722×r2=11
\sf \implies r^{2} = 11 \times \dfrac{7}{22}⟹r2=11×227
\sf \implies r^{2} = \dfrac{7}{2}⟹r2=27
\sf \implies r = \sqrt{\dfrac{7}{2}}⟹r=27
→ Now ATQ we need to find it's volume
\underline{\bf{\dag} \:\mathfrak{As\;we\;know\: that\: :}}†Asweknowthat:
\star\: \boxed{\sf{\blue{Volume\;of\;Cylinder= Area\;of\;base \times Height }}}⋆VolumeofCylinder=Areaofbase×Height
→ Let's solve by putting the values in this formula !
\sf \implies 11 \times 7⟹11×7
\begin{gathered}\sf \implies 77\;cm^{3} \\\end{gathered}⟹77cm3
∴ Volume of this cylinder is 77 cm³