 | Edward Henry Courtenay - Calculus - 1857 - 522 pages
...--or, v = 0 and v = 2*. .. • . V = fffr* cos 6.dv.didr =\ffr2 cos 6.dvd6 = - a2//eos 6.dv.d6 oo u o 2. The volume cut from a sphere whose radius is a, by a cylinder with a circular base whose radius = 6, the centre of the sphere being on the axis of the cylinder. Here we shall have for half the required... | |
 | Edward Henry Courtenay - Calculus - 1873 - 524 pages
...and r = а, d = 0 and a = *, v = 0 and v = 2ir. , •. V- fSfr*cosé.du.dédr= о ^ i O ¿ -a О О 2. The volume cut from a sphere whose radius is a, by л cylinder with a circular base whose radius = ¿>, the centre of the sphere being on the axis of... | |
 | John Minot Rice, William Woolsey Johnson - Differential calculus - 1880 - 464 pages
...hetwecn the plane of xy and the surfaces of the paraboloid and of the cylinder. 3 ""a' $2c . 34. Find the volume cut from a sphere whose radius is a by a right circular cylinder whose radius is b, and whose axis passes through the centre of the sphere.... | |
 | John Minot Rice, William Woolsey Johnson - Differential calculus - 1880 - 486 pages
...paraboloid perpendicularly at the focus, and whose surface passes through the vertex. зпа" H . 3 ii. Find the volume cut from a sphere whose radius is a by a right circular cylinder whose radius is ¿>, and whose axis passes tnrough the centre of the sphere.... | |
 | James William Nicholson - Calculus - 1896 - 280 pages
...0 and ay V2ax — x*, and the ж-limits are 0 and 2a, for one half of the required volume. 3. Find the volume cut from a sphere whose radius is a by a right circular cylinder whose radius is 5, and whose axis passes through the centre of the sphere.... | |
 | Robert Alfred Herman - Geometrical optics - 1900 - 364 pages
...illumination at any point of the upper disc. 6. A luminous sphere of radius a is placed inside a hemisphere of radius b, the centre of the sphere being on the axis of the hemisphere at distance c from its centre. Shew that, if the base of the hemisphere be perfectly reflecting,... | |
 | William Woolsey Johnson - Calculus, Integral - 1907 - 459 pages
...the paraboloid perpendicularly at the focus, and whose surface passes through the vertex. 11. Find the volume cut from a sphere whose radius is a by a right circular cylinder whose radius is #, and whose axis passes through the centre of the sphere.... | |
 | 368 pages
...illumination at any point of the upper disc. 6. A luminous sphere of radius a is placed inside a hemisphere of radius b, the centre of the sphere being on the axis of the hemisphere at distance c from its centre. Shew that, if the base of the hemisphere be perfectly reflecting,... | |
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... of the wedges which constitute the entire volume. 118. 1. The hemisphere with radius equal to a. Here the limits of the integrations are r = 0 and r — a, è — 0 and a = ¡~«, v = 0 and v = 2*. 