the lateral surface area and the total surface area of a cylinder with base radius 7m and height 9m are respectively​

Question

the lateral surface area and the total surface area of a cylinder with base radius 7m and height 9m are respectively​

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Natalia 1 month 2021-08-14T08:06:19+00:00 1 Answer 0 views 0

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    2021-08-14T08:07:21+00:00

    GIVEN:

    • Height of the cylinder = 9m
    • Radius of the cylinder = 7m

    TO FIND:

    • What is the charge curved surface area of cylinder ?
    • What is the total surface area of cylinder ?

    SOLUTION:

    We know that the formula for finding the Curved surface area of cylinder is:-

    \large{\boxed{\bf{\star \: CSA = 2 \pi r h \: \star}}}

    According to question:

    \sf{\longmapsto CSA = 2 \times\dfrac{22}{\cancel{7}} \times \cancel{7} \times 9 }

    \sf{\longmapsto CSA = 2 \times 22 \times 9 }

    \bf{\longmapsto CSA = 396 \: cm^2 }

    • CSA of Cylinder = 396 cm²

    We know that the formula for finding the Total surface area of cylinder is:-

    \large{\boxed{\bf{\star \: TSA = 2 \pi r (h + r) \: \star}}}

    According to question:

    \sf{\longmapsto TSA = 2 \times \dfrac{22}{\cancel{7}} \times \cancel{7} (9+7)}

    \sf{\longmapsto TSA = 2 \times 22 \times 16}

    \bf{\longmapsto TSA = 704 \: cm^2 }

    • TSA of cylinder = 704 cm²

    ______________________

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