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Question

What is the surface area of a spherical pot whose radius is 4.2 cm ? (Take π = \(\frac{22}{7}\))

This question was previously asked in
SSC Selection Post 2022 Matriculation Level Question Paper (02-Aug-2022) (Shift-4)
The correct answer is

221.76 cm2

The correct answer is 221.76 cm 2.

The formula 4\pi r^2 was first discovered by Archimedes. He famously showed that the surface area of a sphere is equal to the lateral surface area of a circumscribed cylinder (a cylinder that perfectly encloses the sphere) excluding its bases. Understanding surface area is important in various applications, such as calculating the amount of material needed to cover a spherical object, determining heat transfer, or studying properties of bubbles and droplets.

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Similar Questions

  1. A metallic solid hemisphere of radius 12 cm is melted and recast into spheres of radius 2 cm. Find the number of spheres thus formed.

  2. Find the length of a diagonal of a cuboid whose dimensions are 12 m, 10 m and 8 m. (up to one decimal point)

  3. A solid sphere has a surface area of 616 cm2. This sphere is now cut into two hemispheres. What is the total surface area of one of the hemispheres?

  4. What is the height of a cuboid whose total surface area is 650 cm2 ? The cuboid is 10 cm long and 7 cm wide.

  5. Find the volume of a solid hemisphere whose diameter is 21 cm ( use \(\pi = \frac{{22}}{7}\)).

  6. The internal and external diameters of a hollow hemispherical bowl are 6 cm and 10 cm, respectively. If it is melted and recast into a solid cylinder of diameter 14 cm, what is the height of the cylinder in cm?

  7. The lateral surface area of a hemisphere is 693 cm2. It's radius will be ________. (Take \(\pi=\frac{22}{7}\))

  8. A spherical ball of diameter 8 cm is cut into two equal parts. The curved area of one such part has to be painted with green colour, while the other part has to be painted with red colour. The bases of both the hemispheres are to be painted with blue colour. The cost of painting with blue is ₹2/cm2, while the cost of painting the curved area is ₹3/cm2. What will be the cost (in ₹) of painting the hemispheres?

    Take π = 3.14

  9. A solid iron sphere of radius 21 cm is melted down into a cone of height 84 cm. What will be the radius of the cone ?

  10. To pack a set of books, Surbhi made a carton that was 48 inches long, 27 inches wide and 30 inches tall. What will be the total surface area (in square feet) of this carton, once it closed from all sides? [Use 1 foot = 12 inches]


Important Questions from Solid Figures

  1. A cone and a hemisphere have equal bases and volumes. What is the ratio of the height of the cone to the radius of the hemisphere?

  2. If the surface area of a sphere is 64 π cm 2, then the volume of the sphere is:

  3. Find the surface area of a sphere of diameter 21 cm. (Use π = \(\frac{{22}}{7}\) )

  4. A cube is 7 cm of an edge and another cube is 14 cm on an edge. The ratios of their surface areas are

  5. Using three distinct points which of the following shapes cannot be formed?

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