Surface area of the sphere: 4*pi*52 = 100*pi square units
4/3*pi*radius3 = 523.6 Making the radius the subject of the above gives it a value of 5.000003897 or about 5 cm
The volume is proportiuo9nal to the cube of the radius, so doubling the radiuscauses the volume to increase to (2)3= 8 times its original value.
Surface area: 4*pi*radius2 = 28 Making the radius the subject of the above gives it a value of 1.49270533 or about 1.5 inches
Volume of a sphere equals 4 thirds times pi times the radius cubed. The radius here is 2 meters because the radius is one half the diameter. So plugging in the radius yields an exact result of 32pi ----- cubic meters 3 Or an equally correct but less precise value of 33.5103 cubic meters.
A circle that is 4.25 inches implies that its circumference is 4.25 inches; that is, it is 4.25 inches around. The formula for the circumference of a circle is given as c = 2πr, where c is the circumference, pi is a constant (approximately 3.14), and r is the radius of the circle. Since the c-value is known we can use algebra to manipulate the formula in order to solve for r (the only missing piece of information). Doing so yields r = c/2π. Substituting the circumference of 4.25 inches into the formula reveals that the radius must be .68 inches (rounded to two decimal places). Now that the radius of the circle is known, the surface area can be calculated with the formula A = πr2. Substituting the determined value of the radius in for r produces a surface area of 1.45 inches2. The unit of square inches comes from the fact that we are not only multiplying the numerical value of the radius, but also its units. In this case, r2 = (0.68 inches)(0.68 inches) = 1.45 inches2.
It is 314.159 or 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 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.
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
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