The sum of two numbers is 5/9. If one of the numbers is/1
3. find the other.
Mark (1)
Answers
Step-by-step explanation:
Answer:
Given :-
The curved surface area of cylinder is 1980 cm² and the radius of its base is 15 cm.
To Find :-
What is the height of the cylinder.
Formula Used :-
\longmapsto \sf\boxed{\bold{\pink{Curved\: Surface\: Area\: Of\: Cylinder =\: 2{\pi}rh}}}⟼
CurvedSurfaceAreaOfCylinder=2πrh
where,
r = Radius
h = Height
Solution :-
Let, the height of the cylinder be h cm
Given :
Curved surface area = 1980 cm²
π = 3.14
Radius = 15 cm
According to the question by using the formula we get,
\implies \sf 2 \times 3.14 \times 15 \times h =\: 1980⟹2×3.14×15×h=1980
\implies \sf 2 \times \dfrac{314}{100} \times 15 \times h =\: 1980⟹2×
100
314
×15×h=1980
\implies \sf \dfrac{628}{100} \times 15 \times h =\ 1980⟹
100
628
×15×h= 1980
\implies \sf \dfrac{9420}{100} \times h =\: 1980⟹
100
9420
×h=1980
\implies \sf h =\: \dfrac{1980 \times 100}{9420}⟹h=
9420
1980×100
\implies \sf h =\: \dfrac{19800\cancel{0}}{942\cancel{0}}⟹h=
942
0
19800
0
\implies \sf h =\: \dfrac{\cancel{19800}}{\cancel{942}}⟹h=
942
19800
\implies \sf\bold{\red{h =\: 21.01\: cm}}⟹h=21.01cm
\therefore∴ The height of the cylinder is 21.01 cm.
Step-by-step explanation:
hope you get your answer
