Question

find a volume and the total surface area of a solid cylinder whose radius is 7cm and its height is 30 centimeters​

Answer 1

❍ Let the volume of cylinder of x cm³ respectively.

$\\ \underline{\bigstar\;\boldsymbol{According\;to\;the\;given\;Question:}}$

• Here,the radius of cylinder is 7 cm and height of cylinder is 30 cm.So that we can use the formula of volume of cylinder to find the answer.

$\\ \\ \underline{\frak{\dag\;Required\;Formula:}}\\ \\ \red{\bigstar}\;\underline{\boxed{\sf{Volume_{(cylinder)\;=\;\pi r^2h}}}}$

Putting the values on given formula;

$\\ \dashrightarrow\;\sf{x\;=\;\frac{22}{7}\times (7)^2\times 30}\\ \\ \dashrightarrow\;\sf{x\;=\;\frac{22}{\cancel{7}}\times \cancel{7}\times 7\times30}\\ \\ \dashrightarrow\;\sf{x\;=\;22\times 7\times 30}\\ \\ \dashrightarrow\;\sf{x\;=\;154\times 30}\\ \\ \dashrightarrow\;\underline{\boxed{\frak{x\;=\;4620}}}\;\blue{\bigstar}$

• Therefore,the volume of cylinder is 4620 cm³.

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Now,TSA of cylider;

❍ Let the TSA of cylinder be y cm² respectively.

$\\ \gray{\bigstar}\;\underline{\boxed{\frak{TSA_{(cylinder)}\;=\;2\pi r(r+h)}}}$

Putting the known values,

$\\ \dashrightarrow\;\sf{y\;=\;2\times\frac{22}{\cancel{7}}\times\cancel{7}(7+30)}\\ \\ \dashrightarrow\;\sf{y\;=\;2\times 22\times 37}\\ \\ \dashrightarrow\;\sf{y\;=\;44\times 37}\\ \\ \dashrightarrow\;\underline{\boxed{\frak{y\;=\;1628}}}\;\pink{\bigstar}$

• Therefore,The TSA of cylinder is 1628 cm².

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Hence,

• The volume of cylinder is 4620 cm³ and the TSA of cylinder is 1628 cm².

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Answer 2

1628 cm²

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