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How do you find the percent increase of a sphere when the radius is tripled?
Wiki User
∙ 13y ago
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.
Wiki User
∙ 13y ago
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If the radius of a sphere is 10cm and you increase the radius by 5 percent then how much percent incriment is there in the volume of the sphere?
The volume of the sphere is proportional to the cube of its radius.Increasing the radius by 5% causes the volume to increase by the factor of (1.05)3= (1.05 x 1.05 x 1.05) = 1.157625= 15.7625% increase in volume.(Regardless of what the radius and volume were before the increase.)
What is the volume of a sphere if the radius of the sphere is 7 inches?
A sphere with a radius of 7 inches has a volume of 1,436.76 cubic inches.
What is the volume of a sphere when the radius is 3x3?
A sphere with a radius of 9 units has a volume of 3,053.63 units3
What is the radius of a sphere with a volume of 972 cm cubed?
volume sphere = 4/3 π radius³ → radius = ³√(¾ volume sphere ÷ π) = ³√(¾ × 972cm³ ÷ π) ≈ 6.1cm
What is the volume of a sphere with radius of 2 m?
Volume of a sphere is 4/3 pi times the cube of its radius.
How does the volume change if the radius is tripled?
It depends on the shape. The volume of a sphere will increase differently to the volume of a cylinder, for example.
How many times does the volume of a sphere increase if the radius is tripled?
The new volume is 3^3 = 27 times as much.
If the radius of a sphere is 10cm and you increase the radius by 5 percent then how much percent incriment is there in the volume of the sphere?
The volume of the sphere is proportional to the cube of its radius.Increasing the radius by 5% causes the volume to increase by the factor of (1.05)3= (1.05 x 1.05 x 1.05) = 1.157625= 15.7625% increase in volume.(Regardless of what the radius and volume were before the increase.)
If the radius of a sphere is tripled what is going to happen to surface area?
If the radius of a sphere is tripled, the surface area increases by (3)2 = 9 times, and the volume increases by (3)3 = 27 times.
How many times does the volume of a Sphere increases if the radius is tripled?
The volume of the larger sphere will be 27 times the original. Here's the math: Volume of sphere of radius r is (4/3) x pi x r3 Volume of sphere of radius 3r is (4/3) x pi x (3r)3 or 27r3
If the radius of a sphere is tripled how is the surface area affected?
The surface area of a sphere is directly proportional to the square of its radius. A ∝ r2 r = 3k A ∝ (3k)2 A ∝ 9k2 therefore, the surface area will become 9 times the size
How is the volume of a sphere affected if you double the radius?
The volume of a sphere is proportional to R3 .So doubling the radius causes the volume to increase by a factor of 23 = 8 .
If a radius of a sphere increase by a factor of 4 what does the factor of the volume increase?
64The formula to find the volume of a sphere is4/3 * pi * r3where r is the radius of the sphere. So if the radius is increased by a factor of 4, then the formula becomes4/3 * pi * (4r)3 = 4/3 * pi * 64r3showing that the volume increases by a factor of 64.
What does the radius of a sphere join?
The radius of a sphere joins the center of the sphere to its circumference.
If the surface area of a sphere is increased by a factor of 4 what is the change in the length of the radius of the sphere?
The area of a sphere is A=4*3.14 * r^2. Thus the area varies as the square of the radius. If the surface area is increased by a factor of 4, then the radius will have to increase by the square root of 4 which is 2.
What does the radius of a sphere?
The radius of a sphere is equal distance from the center of the sphere to all points within the sphere.
The radius of one sphere is the radius of one sphere is twice as great as the radius of a second sphere. a. Find the ratio of their surface areas.?
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