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A sphere is a solid figure bounded by a curved surface such that every point on the surface is the same distance from the centre. In other words, a sphere is a perfectly round geometrical object in three-dimensional space, just like a surface of a round ball. The distance from the center to the outer surface of sphere is called its radius. The surface area of a sphere is defined as the amount of region covered by the surface of a sphere and is equal to 4πr². The volume of sphere is the ...
Example 1– Calculate the cost required to paint a football which is in the shape of a sphere having a radius of 7 cm. If the painting cost of football is INR 2.5/square cm. (Take π = 22/7) Solution We know, The total surface area of a sphere = 4 π r 2 square units = 4 × (22/7) × 7 × 7
The surface area of a sphere is the total area that is covered by its outer surface. The surface area of a sphere is always expressed in square units. The formula for the surface area of a sphere depends on the radius and the diameter of the sphere. It is mathematically expressed as 4πr 2; where 'r' is the radius of the sphere. Why is the Surface Area of a Sphere 4 Times the Area of a Circle?
5 days ago · The surface area of a sphere with a diameter of 8 cm is 201.06 cm 2. To obtain this result, follow these steps: Multiply the diameter by itself to get the diameter squared: d 2 = 8 2 = 64 cm 2. Multiply the diameter squared by pi to obtain the sphere's surface area: A = π × d 2 = π × 64 cm 2 ≈ 201.06 cm 2. Verify the result using our area ...
4 days ago · If both shapes have the same total surface area, what is the ratio \(\frac{R}{h}\)? Practice Problems. What is the surface area of a sphere of radius 3? ... Then, since the surface area of sphere is \( 4 \pi r^2 \propto r^2, \) the surface area of the sphere has grown \(2^2 = 4\) times. \(\ _\square\) You have a watermelon whose volume is \(288 \text{ cm}^3.\) If you cut the watermelon into halves, what is the surface area of one half of the watermelon? (Assume that the watermelon is a ...
The surface area of a sphere is exactly four times the area of a circle with the same radius. You can see this in the area formula, since the area of a circle is and the surface area of a sphere is Things to try. In the figure above, click "hide details". Drag the orange dot to resize the sphere. Calculate the volume of the sphere Click "show details" to check your answer. In the figure above, click "reset" then uncheck "show radius" ...
And the area covered by this surface is the surface area of the sphere. Formula | Surface Area of a Sphere For a sphere with a radius r \hspace{0.2em} r \hspace{0.2em} r , the surface area is given by
Surface area of a sphere. ... If we were to pop a basketball, or peel an orange, then lay them flat and measure the total area covered, the result would be their surface areas. Surface area formula. The surface area, S, of a sphere with radius r is: S = 4πr 2. Example: The volume of a sphere is 972π. What is the sphere's surface area? First find r: 729 = r 3. r = 9. Now that we know r, we can plug it into the surface area formula:
Jun 11, 2023 · The surface area of a sphere is the entire region covered by its outer round surface. It is also the curved surface area of a sphere. Like all other surface area it is expressed in square units such as m 2, cm 2, and mm 2. We will learn how to find the surface area of a solid sphere. The equations are given below. Formulas. The basic formula is ...
The surface area of a sphere is the total area covered by surface of a sphere in three-dimension space. The formula for surface area is: SA = 4πr 2 Square units Volume of sphere is the space occupied by sphere in three dimension space. The formula is: V = 4/3πr 3
