Question

find the volume total surface area and curved surface area of a cylinder whose radius is 3 cm and height is equal to 14 centimetre​

Answer 1

GIVEN:

• Radius of cylinder (r) = 3 cm
• Height of cylinder (h) = 14 cm

TO FIND:

• What is the volume, TSA, CSA of the cylinder ?

SOLUTION:

First, we find the CSA of the cylinder

To find the CSA of Cylinder, we use the formula:-

$\large{\boxed{\bf{\star \: C.S.A. = 2 \pi rh \: \star}}}$

According to question:-

$\rm{\longrightarrow CSA = 2 \times \dfrac{22}{\cancel{7}} \times 3 \times \cancel{14} }$

$\rm{\longrightarrow CSA = 2 \times 22 \times 3 \times 2 }$

$\bf{\longrightarrow CSA = 264 \: cm^2 }$

• CSA = 264 cm²

We know that the formula for finding the TSA of cylinder is:-

$\large{\boxed{\bf{\star \: T.S.A. = 2 \pi r (h+r) \: \star}}}$

According to question:-

$\rm{\longrightarrow TSA = 2 \times \dfrac{22}{7} \times 3(14+3) }$

$\rm{\longrightarrow TSA = 2 \times \dfrac{22}{7} \times 3 \times 17}$

$\rm{\longrightarrow TSA = \cancel\dfrac{2244}{7} }$

$\bf{\longrightarrow TSA = 320.57 \: cm^2 }$

• TSA = 320.57 cm²

To find the volume of the cylinder, we use the formula:-

$\large{\boxed{\bf{\star \: VOLUME = \pi r^2 h \: \star}}}$

According to question:-

$\rm{\longrightarrow VOLUME = \dfrac{22}{\cancel{7}} \times (3)^2 \times \cancel{14} }$

$\rm{\longrightarrow VOLUME = 22 \times 9 \times 2 }$

$\bf{\longrightarrow VOLUME = 396 \: cm^3 }$

• VOLUME = 396 cm³

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