- 5 mm. Medium. Solution. Verified by Toppr. Correct option is B) Let the radius of the football be r. then its surface area will be 4πr2. But it is given that, the surface area of football is equal to 616 mm2. Hence, 616=4πr2. ⇒616=4×722×r2. ⇒(4×22)(616×7)=r2. ⇒884312=r2. ⇒49=r2. ⇒r=7 mm.
- 6 mm. D.
- 7 mm. C.
- 4 mm. B.
Similarly, how do you calculate surface area of a football? The formula for calculating the surface area of a sphere is 4 x Pi x r2 = SA (4 x 3.14 x radius squared equals surface area). The radius of a size 5 soccer ball is 11.5cm. The formula would now be 4 x Pi x 11.5 x 2 = 1661.06cm squared. The surface area is 1661.06cm squared (approx).
Also, what is the formula for the surface area of a ball? Similarly, the volume of a ball enclosed by a sphere of radius R is (4/3)*Pi*R3. And the formula for the surface area of a sphere of radius R is 4*Pi*R2.
Also the question is, how do you calculate surface area? Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Subsequently, what is surface area of a soccer ball? The surface area of the soccer ball is about 1521 cm².Today’s footballs are much more complex than past footballs. Most modern footballs consist of twelve regular pentagonal and twenty regular hexagonal panels positioned in a truncated icosahedron spherical geometry.
What is CSA and TSA of sphere?
Surface area (TSA) = CSA = 4πr2. Hemisphere : Curved surface area(CSA) = 2 π r2. Total surface area = TSA = 3 π r2.
Is surface area squared or cubed?
Look Out: surface area is only two-dimensional and is expressed as units squared, not units cubed. This is because we are only dealing with the flat surfaces, not the inside space.
What is the volume of a globe?
But the formula for the volume of a sphere is volume is equal to 4/3 pi r cubed, where r is the radius of the sphere.
What is the easiest way to find surface area?
How do you calculate surface area and volume?
It gives the proportion of surface area per unit volume of the object (e.g., sphere, cylinder, etc.). Therefore, the formula to calculate surface area to volume ratio is: SA/VOL = surface area (x2) / volume (x3) SA/VOL = x-1 , where x is the unit of measurement.
How do I find the surface area of a square?
How to find the area of a square – formulas. The area of a square is the product of the length of its sides: area = a * a = a² , where a is a square side.
What is the volume of a football?
We can compare this with the volume of a football (soccer ball) – which has a radius of around 10.5cm, therefore a volume of around 4800 cubic centimeters.
What is the formula to use in finding the volume of a soccer ball?
To find the volume of a soccer ball,the formula is V=4/3 πr^3,where r is the radius and π=3.14. A regulation soccer ball has a radius of 35cm. find the volume of a soccer ball to the nearest cubic centimeter.
What is the radius of a soccer ball?
The radius of a soccer ball is 11 cm.
How many boxes are there in a football?
Rules of the Game There are 100 squares of play (the white boxes). The grey boxes running along the left and top of the game are to randomly assign numbers 0 – 9 AFTER all white squares have been filled in.
What is the shape of a football called?
A football, however, owes its two-dimensional origin to the ellipse rather than the circle, giving the pigskin its prolate spheroid shape, which has a polar axis that is greater than its equatorial diameter. Thanks to its elongated nature, a football will spiral when thrown properly.
How many pentagons are in a football?
It has 12 pentagons (5-sided shapes) and 20 hexagons (6-sided shapes). Each pentagon, usually black, has 5 white hexagons around it.
Is TSA and CSA of sphere same?
When a plane cuts the sphere in two equal halves, we get a hemisphere. The total surface area (TSA) of hemisphere is equal to the sum of its curved surface area and base area (circular base).
What is the curved surface area of cone?
The curved surface area of the cone can be given by finding the area of the sector by using the formula, Area of the sector (in terms of length of arc) = (arc length × radius)/ 2 = ((2πr) × l)/2 = πrl. ∴ The curved surface area of a cone, S = πrl units2.
What is surface and volume?
The surface area of any given object is the area or region occupied by the surface of the object. … Whereas volume is the amount of space available in an object. In geometry, there are different shapes and sizes such as sphere, cube, cuboid, cone, cylinder, etc.
How do you write the answer for surface area?
What is unit of surface area?
The SI unit of area is the square meter (m2), which is a derived unit.
Is surface area the same as squared?
The surface area is the number of square units that fit into the square. As shown in the picture, the surface area of this square is 16 total square units. Hey, that’s the same answer!
How do you find the volume of a ball?
To calculate the volume of a sphere, use the formula v = ⁴⁄₃πr³, where r is the radius of the sphere. If you don’t have the radius, you can find it by dividing the diameter by 2. Once you have the radius, plug it into the formula and solve to find the volume.
What is the volume equation of a cone?
Now that you have what you need to calculate the volume of a cone, all you have to do is follow the formula : V = 1/3Bh, where B = πr². Now, you need to multiply the area of the base B by the height h and then divide the obtained result by 3.
What value is pie?
In decimal form, the value of pi is approximately 3.14. But pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666…). (To only 18 decimal places, pi is 3.141592653589793238.)
