find the volume of a sphere whose radius is course hero

The formula behind its volume is: volume = ((π * h²) / 3) * (3r - h) or volume = (1/6) * π * h * (3a² + h²), where the radius of the sphere is r, the height of the cap (the blue one) is h, and a is radius of the base of the cap

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How do you find the volume of a sphere with radius?

The volume of a sphere with radius r is given by V = 43 π r 3 . A sphere is a round solid figure for which every point on its surface is equidistant from its center . Suppose that ∠ A and ∠ B are congruent . If m ∠ A = 12 x − 14 and m ∠ B =3x + 35 then find the value of x . When two lines intersect, angles are formed.

What is the unit of volume of a sphere?

What is the volume of a sphere with a radius of 6 units? 28870 units 3. Access to over 100 million course-specific study resources. 24/7 help from Expert Tutors on 140+ subjects.

What is the volume of a 5 inch sphere in cubic inches?

Jun 01, 2020 · 16) Given radius of Sphere = 3.5cm volume of Sphere 24 try * ( 2 2 ) ( 3.5 ) = 8 8 ( 42.875) 21 = 179. 6 cm 19) Given radius of time = 13 inches For Every time tire travel if covers a distance of its circumference Circumference of circle 2 2 1TV = ett ( …

Why are spheres useful in engineering and architecture?

A sphere has a radius of 12.5 centimeters. ... A sphere has a radius of 12.5 centimeters. a. Find the volume of the sphere in terms of a. h. Express the volume of the sphere to the nearest cubic centimeter ... Comments (0) Answer & Explanation. Unlock full access to Course Hero. Explore over 16 million step-by-step answers from our library. Get ...

Volume of a sphere formula

The volume of a sphere is 4/3 x π x (diameter / 2)3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius3. Visual on the figure below:

How to calculate the volume of a sphere?

Usually the hardest part is measuring or estimating the diameter of the sphere. Special tools exist for smaller parts like balls in ball-bearings, but it gets more complicated if the size is large. Knowing that the diameter is the largest internal measurement you can take should help.

Example: find the volume of a sphere

Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).