It is 314.159 or 100*pi square units.
Using your value of a, the answer is 4x3x7x7 square metres. More accurate to use the correct value of a, which is pi (ie nearer to 3.142) 588.2 m2
Volume: 4/3*pi*radius3 = 140 By making the radius the subject of the above gives it a value of 3.221166265 cm Surface area: 4*pi*3.2211662652 = 130.387557 square cm
Volume of a sphere is given by V = 4/3 x π x r3. So for the calculation of volume we should have the value of radius. The value of radius can be known from the given surface area. Surface of a sphere = 4 x π x r2 482.8 mm2 = 4 x π x r2 r2 = 482.8/(4 x π) mm2 r2 = 38.42 mm2 r = 38.421/2 mm = 6.19 mm So Volume of Sphere can, now, be calculated: V = 4/3 x π x 6.193 mm3 = 993.48 mm3.
They can't have the same value, since area has square units and circumference has linear units. But their number portions can be the same. The circumference and the area of a circle with a radius of 2 are both (4 pi), with the appropriate units.
It cannot be because the first is a measure of length whereas the second is a measure of area. Basic rules of dimensional analyses states that such comparisons are meaningless.However, the numerical value of the circumference of a circle and the numerical value of its area will be the same if the radius has a value of 2 in some measurement units.A circle with radius of 10 cm has a circumference of 63 cm and an area of 314 cm^2 and these are clearly not equal. But if the measurements are taken in units of 5 cm, then the radius is 2 units and the circumference is 12.6 units while the area is 12.6 square units - the same numeric value.
Surface area of the sphere: 4*pi*52 = 100*pi square units
Surface area: 4*pi*radius2 = 803.84 Making the radius the subject of the above gives it a value of 7.9979719132 or about 8 units in length. Check: 4*pi*7.99797191322 = 803.84 square units
Volume of the sphere: 4/3*pi*4 cubed = 268.083 cubic units rounded to 3 decimal place
It is: 4/3*pi*3 cubed = 36*pi cubic units
Using your value of a, the answer is 4x3x7x7 square metres. More accurate to use the correct value of a, which is pi (ie nearer to 3.142) 588.2 m2
For the question to have any meaning, the volume should be in cubic metres, not metres. The surface area of a sphere of radius r is 4*pi*r*r and its volume is 4/3*pi*r*r*r. Use the second equation to find the value of the radius, r and then use that value in the first equation to calculate the surface area.
radius is a scalar quantity, it can not have a negative value.
Pi has many usages in mathematics some of which are:- Area of a circle = pi*radius squared Circumference of a circle = diameter*pi or 2*pi*radius Surface area of a sphere = 4*pi*radius squared Volume of a sphere = 4/3*pi*radius cubed Volume of a cone = 1/3*pi*radius squared*height The value of pi is found by dividing the circumference of a circle by its diameter
Volume: 4/3*pi*radius3 = 140 By making the radius the subject of the above gives it a value of 3.221166265 cm Surface area: 4*pi*3.2211662652 = 130.387557 square cm
Volume of a sphere is given by V = 4/3 x π x r3. So for the calculation of volume we should have the value of radius. The value of radius can be known from the given surface area. Surface of a sphere = 4 x π x r2 482.8 mm2 = 4 x π x r2 r2 = 482.8/(4 x π) mm2 r2 = 38.42 mm2 r = 38.421/2 mm = 6.19 mm So Volume of Sphere can, now, be calculated: V = 4/3 x π x 6.193 mm3 = 993.48 mm3.
There are two methods, you can decide which is easier for you to follow. 1. Calculate the value for surface area (4π(r^2)) or volume ((4/3)π(r^3)) depending on the problem you're working on, using the new value and the old values for the radius. Then, take the new radius (the triple-sized one) and subtract the previous value, and divide that number by the previous value to get the decimal. To make that into a percentage, multiply by 100. 2. Subtract the smaller radius by the larger one. Calculate the value for surface area/volume. That solution is the difference in surface area/volume due to the larger radius. Then, divide that number by the original surface area/volume (the solution of the original radius put through the equation) to get the decimal. Multiply by 100 to make a percentage.
First we have to find the radius: 4*pi*radius2 = 64*pi Divide both sides by 4*pi and then square root both sides to find the value of the radius: radius = 4 cm Volume of a sphere = 4/3*pi*radius3 Volume = 268.0825731 or 268 cm3 to the nearest cubic cm