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$A cylinder with no top and no bottom has an outside surface area of 377cm^(2). The height of the cylinder is 10cm. a) What is the circumference of the base of the cylinder? {:[" Curved surface area of cylinder "=" circumference "×" height "],[=" circumference "×],[◻=" circumference "]:} The circumference of the base is qquad$

$4$ ) A cylinder with no top and no bottom has an outside surface area of $377 \mathrm{~cm}^{2}$ . The height of the cylinder is $10 \mathrm{~cm}$ . $\newline$ a) What is the circumference of the base of the cylinder? $\newline$ $\begin{aligned} \text { Curved surface area of cylinder } & =\text { circumference } \times \text { height } \\ & =\text { circumference } \times \\ \square & =\text { circumference } \end{aligned}$ $\newline$ The circumference of the base is $\qquad$

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Area of quadrilaterals and triangles: word problems

Full solution

Q.

4

) A cylinder with no top and no bottom has an outside surface area of

377 \mathrm{~cm}^{2}

. The height of the cylinder is

10 \mathrm{~cm}

.

\newline

a) What is the circumference of the base of the cylinder?

\newline

\begin{aligned} \text { Curved surface area of cylinder } & =\text { circumference } \times \text { height } \\ & =\text { circumference } \times \\ \square & =\text { circumference } \end{aligned}

\newline

The circumference of the base is

\qquad

Calculate curved surface area: Calculate the curved surface area of the cylinder, which is given by the formula: Curved surface area = circumference $\times$ height. Here, the total surface area is $377\,\text{cm}^2$ and the height is $10\,\text{cm}$ .
Find circumference formula: Use the formula for curved surface area to find the circumference. Rearrange the formula to solve for circumference: $\text{circumference} = \frac{\text{Curved surface area}}{\text{height}}$ .

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