...the square of C, and A =4 when .5 = 1, 0=2. "What is the value of , when В = 2, O= 2 ? -¿> — A 9. The volume of a sphere varies as the cube of the radius. If 3 spheres with radii 9, 12, and 15 inches are melted into a single sphere, find its radius. SECTION...

...feet is 523.6 cubic feet; what is the volume of a sphere whose radius is 10 feet, if it is known that the volume of a sphere varies as the cube of the radius? 15. If Л ос. Ä, then АР ос. BP, where P is any quantity variable or invariable. 16. If Л ce....

...feet is 523.6 cubic feet; what is the volume of a sphere whose radius is 10 feet, if it is known that the volume of a sphere varies as the cube of the radius? 15. If A ex. B, then АРск. RP, where P is any quantity variable or invariable. 16. If -l ct-ß...

...contraction will be considered first, for it will at the same time illustrate what is meant by that relation. The volume of a sphere varies as the cube of the radius, and the surface area of a, sphere as the square of the radius. It therefore follows that the volume of a growing...

...substituting in (1) x = 4, т/ = 6, г = 3, m = 2, (2) substituting in (1) 2/ = 6, г = 9, m = 2, ^ = 2, (3) 4. The volume of a sphere varies as the cube of the...Find the volume of a sphere whose radius is 14. Let V represent the volume and R the radius of the sphere^ Then -— = m, or V= mR\ (1) substituting in...

...specific gravity s may float in water. If a, b be the external and internal radii, the condition is since the volume of a sphere varies as the cube of the radius. Hence a — b a \ sj ' av « ' ^ ' EQUILIBEIUM OF FLOATING BODIES 221 Ex. 2. A uniform elliptic cylinder...

...contraction will be considered first, for it will at the same time illustrate what is meant by that relation. The volume of a sphere varies as the cube of the radius, and the surface area of a sphere as the square of the radius. It therefore follows that the volume of a growing...

...directly as the cube root of y. The volume of a sphere is expressed by the equation v = f irr8. Hence the volume of a sphere varies as the cube of the radius. k If у = — , then y 'varíes inversely as x1. If у = k . wx, then Я/ у varies jointly as w and...

...directly as the cube root of y. • The volume of a sphere is expressed by the equation v = fir3. Hence the volume of a sphere varies as the cube of the radius. If у = — , then у varies inversely as ж2. If у = k • wx, then хг у varies jointly as w and...

...that is, that portion of the universe which is accessible to us according to the laws of nature. Since the volume of a sphere varies as the cube of the radius, this means we are seeing about 0.5 of the volume of the potentially visible universe. If somehow we...