the curve surface area of right circular cylinder of height 7 cm is 88cmsq find the diameter of the base of the cylinder​

Question

the curve surface area of right circular cylinder of height 7 cm is 88cmsq find the diameter of the base of the cylinder​

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Madelyn 1 week 2021-10-04T18:17:26+00:00 2 Answers 0 views 0

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    0
    2021-10-04T18:18:42+00:00

    Answer:

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    Step-by-step explanation:

    Height (h) of cylinder = 14cm

    Let the diameter of cylinder be d.

    Curved Surface Area of Cylinder = 88cm square

    2πrh = 88 cm square

    π dh = 88 cm square. (d = 2r)

    22/7 × d × 14 = 88 cm

    d = 2 cm

    Therefore,the diameter of the base of the cylinder is 2 cm

    0
    2021-10-04T18:18:55+00:00

    SOLUTION :

    \underline{\bf{Given\::}}}}

    • The curved surface area of right circular cylinder = 88 cm²
    • Height of the cylinder (h) = 7 cm

    \underline{\bf{To\:find\::}}}}

    The diameter of the base of cylinder.

    \underline{\bf{Explanation\::}}}}

    We know that formula of the curved surface area of cylinder :

    \boxed{\bf{C.S.A.=2\pi rh\:\:\:\:\:(sq.unit)}}}}}

    A/q

    \longrightarrow\sf{2\pi rh=88}\\\\\longrightarrow\sf{2\times \dfrac{22}{\cancel{7}} \times r \times \cancel{7 }= 88}\\\\\longrightarrow\sf{44\times r=88}\\\\\longrightarrow\sf{r=\cancel{88/44}}\\\\\longrightarrow\bf{r=2\:cm}

    Now,

    We know that;

    \longrightarrow\sf{Diameter=2r}\\\\\longrightarrow\sf{Diameter=2\times 2cm}\\\\\longrightarrow\bf{Diameter=4\:cm}

    Thus,

    The diameter of the base of the cylinder will be 4 cm .

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