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Mathematics teacher of a school took her...


Mathematics teacher of a school took her 10th standard students to show Red fort. It was a part of their Educational trip. The teacher had interest in history as well. She narrated the facts of Red fort to students. Then the teacher said in this monument one can find combination of solid figures. There are 2 pillars which are cylindrical in shape. Also 2 domes at the corners which are hemispherical.7 smaller domes at the centre. Flag hoisting ceremony on Independence Day takes place near these domes.
How much cloth material will be required to cover 2 big domes each of radius 2.5 metres?

A

`75 m^(2)`

B

`78.57m^(2)`

C

`87.47 m^(2)`

D

`25.8 m^(2)`

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The correct Answer is:
B
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Mathematics teacher of a school took her 10th standard students to show Red fort. It was a part of their Educational trip. The teacher had interest in history as well. She narrated the facts of Red fort to students. Then the teacher said in this monument one can find combination of solid figures. There are 2 pillars which are cylindrical in shape. Also 2 domes at the corners which are hemispherical.7 smaller domes at the centre. Flag hoisting ceremony on Independence Day takes place near these domes. What is the ratio of sum of volumes of two hemispheres of radius 1cm each to the volume of a sphere of radius 2 cm?

The teacher said to the student "Can you explain this ?"

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  • Mathematics teacher of a school took her 10th standard students to show Red fort. It was a part of their Educational trip. The teacher had interest in history as well. She narrated the facts of Red fort to students. Then the teacher said in this monument one can find combination of solid figures. There are 2 pillars which are cylindrical in shape. Also 2 domes at the corners which are hemispherical.7 smaller domes at the centre. Flag hoisting ceremony on Independence Day takes place near these domes .Write the formula to find the volume of a cylindrical pillar

    A
    `prod r^2 h`
    B
    `prod rl `
    C
    `prod r (l + r)`
    D
    `2 prod r `
  • Mathematics teacher of a school took her 10th standard students to show Red fort. It was a part of their Educational trip. The teacher had interest in history as well. She narrated the facts of Red fort to students. Then the teacher said in this monument one can find combination of solid figures. There are 2 pillars which are cylindrical in shape. Also 2 domes at the corners which are hemispherical.7 smaller domes at the centre. Flag hoisting ceremony on Independence Day takes place near these domes. How much is the volume of a hemisphere if the radius of the base is 3.5m?

    A
    `85.9 m^3`
    B
    `80m^3`
    C
    `98 m^3`
    D
    `89.83 m^3`
  • Mathematics teacher of a school took her 10th standard students to show Red fort. It was a part of their Educational trip. The teacher had interest in history as well. She narrated the facts of Red fort to students. Then the teacher said in this monument one can find combination of solid figures. There are 2 pillars which are cylindrical in shape. Also 2 domes at the corners which are hemispherical.7 smaller domes at the centre. Flag hoisting ceremony on Independence Day takes place near these domes. Find the lateral surface area of two pillars if height of the pillar is 7m and radius of the base is 1.4m.

    A
    `112.3 cm^2`
    B
    `123.2 m^2`
    C
    `90 m^2`
    D
    `345.2 cm^2`
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