Question

The covered surface area of a base 8cm is 1760cm Find the height of the cylinder?



please help​

Answer 1

Answer:

Appropriate Question :-

• The curved surface area of a base is 8 cm is 1760 cm². Find the height of the cylinder.

Given :

• The curved surface area of a base radius is 8 cm is 1760 cm².

To Find :-

• What is the height of the cylinder.

Formula Used :-

$\clubsuit$ Curved Surface Area or C.S.A of Cylinder Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{C.S.A_{(Cylinder)} =\: 2{\pi}rh}}}\: \: \: \bigstar$

where,

• C.S.A = Curved Surface Area
• π = Pie or 22/7
• r = Radius
• h = Height

Solution :-

Given :

• Radius = 8 cm
• Curved Surface Area or C.S.A = 1760 cm²

According to the question by using the formula we get,

$\implies \sf\bold{\purple{C.S.A_{(Cylinder)} =\: 2{\pi}rh}}$

$\implies \sf 1760 =\: 2 \times \dfrac{22}{7} \times 8 \times h$

$\implies \sf 1760 =\: \dfrac{44}{7} \times 8 \times h$

$\implies \sf 1760 =\: \dfrac{352}{7} \times h$

$\implies \sf 1760 \times \dfrac{7}{352} =\: h$

$\implies \sf \dfrac{1760 \times 7}{352} =\: h$

$\implies \sf \dfrac{\cancel{12320}}{\cancel{352}} =\: h$

$\implies \sf 35 =\: h$

$\implies \sf\bold{\red{h =\: 35\: cm}}$

$\therefore$ The height of the cylinder is 35 cm .