...square root of— f_3 11 44 8 14 17 S ~ - 2a V + la^x* + a^x 3 ~ - 2aT*7r + a*. 5. Solve— x + = y 6. The volume of a sphere varies as the cube of its radius ; if three spheres of radii 6, 8, and 10 inches respectively be melted and formed into a single sphere,...

...state in its simplest form the value of XC, justifying your statement by geometrical reasoning. 24. The volume of a sphere varies as the cube of its radius. If the mass of Saturn is 1/3502 that of the Sun, and its density 0-52 that of the Sun, find the diameter...

...radius. The area of a circle of radius 2 is 12.5664; what is the area of a circle whose radius is 5.5? 8. The volume of a sphere varies as the cube of its radius. If the volume of a sphere whose radius is 3 is 113.0976, what is the volume of a sphere whose radius...

...inches, and 10 inches, respectively, are united into one. Find the radius of the resulting sphere, if the volume of a sphere varies as the cube of its radius. 20. The volume of a cone varies jointly as its altitude and the square of the diameter of its base....

...is 5 in. is equal to the sum of the areas of two circles whose radii are 3 and 4' in. 11. Given that the volume of a sphere varies as the cube of its radius, prove that the volume of a sphere whose radius is 6 in. is equal to the sum of the volume of three...

...The area of a circle of radius 2 is 12.5664; what is the area of a circle whose radius is 5.5 ? 8. The volume of a sphere varies as the cube of its radius. If the volume of a sphere whose radius is 3 is 113.0976, what is the volume of a sphere whose radius...

...—<*i Ь1 + Ь2 + M hЬ„~Ьi' 3. Given ж + Vж : ж — Vi:: 3V« + 6 : 2 Vж, to find x. 4. If the volume of a sphere varies as the cube of its radius, find the radius of a sphere whose volume equals that of the sum of two spheres whose radii are, respectively,...

...by moving the piston. Show that the density of the inclosed air varies inversely as the volume. JO The volume of a sphere varies as the cube of its radius. If three spheres of radius 2, 3, and 4 inches respectively be melted and formed into a single sphere,...

...of a circle varies as its radius, that the area of a circle varies as the square of its radius, that the volume of a sphere varies as the cube of its radius. In symbols, C:Ci = r: >\, V: F, = r> : r,3. Hence, if the second radius is twice the first (r1 = 2',),...

...6, 8, and 10 inches respectively, are united into one. Find the radius of the resulting sphere, if the volume of a sphere varies as the cube of its radius. 16. The area of an ellipse varies jointly as its axes. The area of an ellipse is lIt) square inches...