Tutors Answer Your Questions about Volume (FREE)
Question 586307: The length of each side of a square wooden box, in inches,
is represented by the expression 8m2
The volume of the box, in cubic inches, is (8m2)3
what is the simplified expression represents the volume of the box
Click here to see answer by ikleyn(52955)   |
Question 550139: a sphere is placed in an inverted hollow conical vessel of base radius 5cm and vertical height 12cm.If the highest point of the sphere is at the level of the base of the cone,find the radius of the sphere.this is the question for which i'm breaking my head.pls...anybody help me.
Click here to see answer by ikleyn(52955) |
Question 1168325: The volume of the water in a hemisphere having a radius of 2 m is 2.05 cu. m. Find the height of the water. It says in our book that the height should be 0.602 m.
I have already tried solving it but I got lost in the middle. I hope you can help me with this. Thank you!
Click here to see answer by MathLover1(20850)  |
Question 1181729: The diameter of a sphere coincides with the axis of a right circular cone, and the surface of the cone intersects the surface of the sphere in in a great circle. Find: (a) the vertical angle of the cone: (b) the volume of the cone; (c) the volume common to the two solids: (d) the volume of that portion of the cone which lies outside the sphere: (e) the volume of that portion of the sphere which lies outside the cone. Denote radius of sphere by R.
Solve Problem if (a) R=2: (b) R=3.72.
Click here to see answer by ikleyn(52955) |
Question 1181729: The diameter of a sphere coincides with the axis of a right circular cone, and the surface of the cone intersects the surface of the sphere in in a great circle. Find: (a) the vertical angle of the cone: (b) the volume of the cone; (c) the volume common to the two solids: (d) the volume of that portion of the cone which lies outside the sphere: (e) the volume of that portion of the sphere which lies outside the cone. Denote radius of sphere by R.
Solve Problem if (a) R=2: (b) R=3.72.
Click here to see answer by CPhill(1987)  |
Question 1181730: The center of each of three spheres of radius R lies in the surfaces of the other two. Pass a plane containing the centers of the spheres. Find the area common to the three great circles cut from the spheres by this plane.
Click here to see answer by ikleyn(52955) |
Question 1181730: The center of each of three spheres of radius R lies in the surfaces of the other two. Pass a plane containing the centers of the spheres. Find the area common to the three great circles cut from the spheres by this plane.
Click here to see answer by CPhill(1987) |
Question 1181727: A cone is inscribed in a sphere. It has for its base a great circle of the sphere and for its vertex a pole of that circle. Find the ratio (a) of the total area of the cone to the area of the sphere, (b) of the volume of the cone to the volume of the sphere.
Click here to see answer by CPhill(1987) |
Question 1181746: A spherical ball of radius R is dropped into a vessel in the form of an inverted right circular cone. Find the radius and altitude of the cone, if when three more balls each of radius R are dropped into it they from a layer on top of the first ball such that all four balls are tangent to each other and in addition each ball of the upper layer is tangent both to the side and to the top of the vessel.
Click here to see answer by CPhill(1987) |
Question 1181748: A diameter of a sphere of radius R coincides with an element of a right circular cylinder of diameter R. For the solid common to the sphere and the cylinder, find the area of a section made by (a) a plane containing the axis of the cylinder and the diameter of the sphere which coincides with the element of the cylinder, (b) the plane perpendicular to the axis of the cylinder at its midpoint, (c) a plane containing the axis of the cylinder and perpendicular to the plane of (a).
Click here to see answer by CPhill(1987) |
Question 1181750: A cylinder of radius a pass centrally through a sphere of radius r. Show that the volume removed from the sphere is the difference of two spheres one of radius r and the other of radius r cos θ, where sin θ= a/r.
Click here to see answer by CPhill(1987) |
Question 1207756: In tetrahedron ABCO,angle AOB = angle AOC = angle BOC = 90degree.A cube is inscribed in the tetrahedron so that one of its vertices is at O,and the opposite vertex lies on face ABC.Let a = OA, b = OB,and c = OC.$ Show that the side length of the cube is
abc/(ab + ac + bc)
Click here to see answer by Alan3354(69443)  |
Question 1207330: Container A was filled with water to the brim. Then, some of the water was
poured into an empty Container B until the height of the water in both
containers was the same. Find the new height in both water containers.
Dimensions of container A: height=40, length= 25, width= 30
Dimensions of container B: height= unknown, length=25, width=18
Click here to see answer by Edwin McCravy(20067)  |
Question 1207330: Container A was filled with water to the brim. Then, some of the water was
poured into an empty Container B until the height of the water in both
containers was the same. Find the new height in both water containers.
Dimensions of container A: height=40, length= 25, width= 30
Dimensions of container B: height= unknown, length=25, width=18
Click here to see answer by ikleyn(52955) |
Question 1207330: Container A was filled with water to the brim. Then, some of the water was
poured into an empty Container B until the height of the water in both
containers was the same. Find the new height in both water containers.
Dimensions of container A: height=40, length= 25, width= 30
Dimensions of container B: height= unknown, length=25, width=18
Click here to see answer by greenestamps(13219)  |
Question 1207330: Container A was filled with water to the brim. Then, some of the water was
poured into an empty Container B until the height of the water in both
containers was the same. Find the new height in both water containers.
Dimensions of container A: height=40, length= 25, width= 30
Dimensions of container B: height= unknown, length=25, width=18
Click here to see answer by mananth(16946)  |
Question 1207242: A cylindrical can holds three tennis balls. each ball has a diameter of 6 cm, which is the same diameter as the cylinder, and the cylinder is filled to the top. Calculate the volume of space in the cylinder not taken up by the tennis balls. Round to the nearest cubic centimeter
Click here to see answer by ikleyn(52955) |
Question 1207242: A cylindrical can holds three tennis balls. each ball has a diameter of 6 cm, which is the same diameter as the cylinder, and the cylinder is filled to the top. Calculate the volume of space in the cylinder not taken up by the tennis balls. Round to the nearest cubic centimeter
Click here to see answer by josgarithmetic(39633) |
Question 1096524: A chemist needs to store a liquid inside a container in a laboratory room. She is trying to determine whether to store the liquid in a regular square pyramid or in a right circular cone storage container. The pyramid container has a base that is 6 inches by 6 inches and a height of 8 inches. The cone container has a base with a diameter of 6 inches and a height of 10 inches. Which container --the pyramid or the cone -- has a greater volume, and by how many cubic inches?
Click here to see answer by mananth(16946) |
Question 1098602: A concrete gate post comprises a right rectangular prism .length of sides of a rectangular prism (having a square base and a pyramid on top) is 30cm and the height of the rectangular section is 150cm. perpendicular height of the pyramid section is 8cm. What is the volume of concrete required to make ONE post?
Surface area of the pyramid section of the post?
If the length of sides of base is halved, how many posts,having the same design can be made with the same volume of concrete as the original post
Click here to see answer by mananth(16946) |
Question 1166470: From a cylindrical object of diameter 70cm and height 84cm a right solid cone having is base as one of circular ends of the cylinder and with height 84cm is removed.calculate the area of the remaining solid object and calculate the remaining solid object (take pia radius to be 22/7)
Click here to see answer by ikleyn(52955) |
Question 1166470: From a cylindrical object of diameter 70cm and height 84cm a right solid cone having is base as one of circular ends of the cylinder and with height 84cm is removed.calculate the area of the remaining solid object and calculate the remaining solid object (take pia radius to be 22/7)
Click here to see answer by mananth(16946) |
Question 1137425: Abigail is putting juice into cone - shaped containers to make popsicle's. She has approximately one quarter of a gallon, or 58 cubic inches, of juice to make the popsicle's with. Each container has a height of 3 inches.
Use the information to complete the table indicating the maximum number of popsicle's that Abigail could make with 58 cubic inches of juice.
Radius of the
Container
0.5 inch
1 inch
1.5 inch
What is the maximum number of popsicle's per container?
Click here to see answer by mananth(16946) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525
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