The curved surface area of right circular cylinder of height 3 cm is 132 square cm. Find the diameter of the base of the cylinder. *

Question

The curved surface area of right circular cylinder of height 3 cm is 132 square cm. Find the diameter of the base of the cylinder. *

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Gianna 2 weeks 2021-10-04T02:36:21+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-04T02:37:40+00:00

    Diameter of the base of the cylinder is 14 cm.

    Step-by-step explanation:

    Given :

    • The curved surface area of right circular cylinder of height 3 cm is 132 cm².

    To find :

    • Diameter of the base of the cylinder.

    Solution :

    Let the radius of the right circular cylinder be r cm.

    Then the diameter = 2r cm

    • Height = 3 cm
    • CSA = 132 cm

    Formula used :

    {\boxed{\sf{CSA\: of\: cylinder=2\pi\:rh}}}

    According to the question,

    2πrh = 132

    \implies 2×(22/7)×r×3 = 132

    \impliesr = 132 × (1/2) × (7/22) × (1/3)

    \implies r = 7

    • Radius = 7 cm

    Then,

    • Diameter of the base = 2×7 = 14 cm.

    _______________

    0
    2021-10-04T02:37:59+00:00

    Answer:

    Given

    \leadsto The curved surface area of right circular cylinder of height 3 cm is 132 cm².

    To Find

    \leadsto What is the diameter of the base of the cylinder.

    Formula Used

    \bigstar\bold{\large{\fbox{\color{green}{CSA of Cylinder = 2πrh}}}}\bigstar

    ✡ Solution ✡

    Let the radius of the right circular cylinder be r cm

    And, the diameter will be 2r cm

    Given:

    • Height(h) = 3 cm
    • Curved Surface Area(CSA) = 132 cm

    According to the question by using the formula we get,

    \mapsto 2πrh = 132

    \implies 2 × \dfrac{22}{7} × r × 3 = 132

    \implies r = \dfrac{132 × 7}{2 × 22 × 3}

    \implies r = 7 cm

    \therefore Diameter of the base is = 2r = 2 × 7 = 14 cm.

    Step-by-step explanation:

    HOPE IT HELP YOU

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