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CAPF - 2 D Mensuration Test 971
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CAPF - 2 D Mensuration Test 971
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  • Question 1/5
    1 / -0.33
    An iron pipe 15 cm long has exterior diameter 24 cm. if the thickness of the pipe is 2 cm, then the whole surface area of the pipe?
    Solutions

    Total surface Area of pipe (hollow cylinder) =

    Here, R– r = thickness = 2 cm

    ⇒ h = 15 cm

    ⇒ R =

    ⇒ r = R – thickness = 12 – 2 = 10 cm

    Hence, Whole surface area of the pipe =

  • Question 2/5
    1 / -0.33
    The surface area of spherical dome – shaped roof of a cylindrical water tank shown in the figure is

    Solutions

    Let radius of sphere = r m

    x = y = 10 m

    d = 2r – 3

    Surface area of spherical dome

    So, option B is correct.

  • Question 3/5
    1 / -0.33
    What is the area of the largest square which can be inscribed in a circle of radius 18 cm?

    Solutions

    If a square of maximum possible area is inscribed in a circle then

    Diagonal of the square = Diameter of the circle

    Radius of the circle = 18 cm

    Diameter of the circle =

    Diagonal of the square =

    ⇒  = 36 cm

    ⇒ Side =

    Area of the largest square =  =

  • Question 4/5
    1 / -0.33
    A rectangular plot of grass is 60 m long and 40 m broad. Two 5 m wide path goes across the centre from the opposite side as shown in figure. Find the sum of the area of these paths(include common part of these paths once)?

    Solutions

    A rectangular plot of grass is 80 m long and 60 m broad as shown in figure below.

    Required Sum = Area of path A + Area of path B - Area of common path

    Area of path A =  =

    Area of path B=  =

    Area of common part=  =

    Required Area = 200 +300 – 25 = 475

  • Question 5/5
    1 / -0.33
    Area of circle is equal to the area of a rectangle having perimeter of 92 cm and length is more than the breadth by 2 cm. what is the radius of the circle?
    Solutions

    Let the breadth of the rectangle be x cm

    Length of the rectangle = (x+2) cm

    Area of circle is equal to the area of a rectangle.

    ⇒  

    Area of circle =  = 528

    ⇒

    ⇒

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