...is equal to the sum of the volumes of three spheres whose radii are 3, 4-, and 5 inches; given that the volume of a sphere varies as the cube of its radius. 18. Standard gold being coined at the rate of .l'.'ï. 17«. 1«W. per oz. what is the least integral...

...vary independently, the first quantity will vary as the difference of their squares. 12. 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 inches is equal to the sum of the volumes of three...

...equal to the sum of the volumes of three other spheres whose radii are 3, 4, and 5 inches ; given that the volume of a sphere varies as the cube of its radius. Since the volume of a sphere œ (radiusf=mr*, where m is the same for all spheres, .•. sum of volumes...

...find the equation connecting у and x. 31. Ifa+6o=a — 6, shew that a + fc2 <=c ab. 32. 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 inches, is equal to the sum of the volumes of...

...is 9, and whose digits, if reversed, form a number -greater than the original number. 6. Given that the volume of a sphere varies as the cube of its radius, prove that the volume of a sphere whose radius is G inches is equal to the sum of the Tolumes of three...

...vary independently, the first quantity will vary as the difference of their squares. 12. 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 inches is equal to the sum of the volumes of three...

...9, and whose digits, if reversed, form a number ¿ greater than the original number. 6. 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 inches is equal to the sum of the volumes of three...

...equal to the sum of the volumes of three spheres whose radii are 3, 4, and 5 inches, admitting that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose...

...equal to the sum of the volumes of three spheres whose radii are 3, 4^ and 5 inches, admitting that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose...

...the same series. What is the common ratio ? 5. Sum the series 3, 2^, 2^, ..... , to 21 terms. 6. , The volume of a sphere varies as the cube of its radius, and that of a circular plate of given thickness as the square of its radius. If the volume of a sphere...