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Question 1075057: A cylindrical biscuit tin has a close-fitting lid which overlaps the tin by 1cm. The radii of the tin and the lid are both x cm. The tin and the lid are made from a thin sheet of metal of area 80π square cm and there is no wastage. The volume of the tin is V cubic cm. Show that V=π (40x-x^2-x^3). Use differentiation to find the positive value of x for which V is stationary.
Click here to see answer by KMST(5328)

Question 1079072: how many spheres with radius 15 cm can fit into a large sphere with radius 75 cm?
Click here to see answer by Alan3354(69443)

Question 1079789: Which intersection forms a parabola?
1.) A plane intersects only one nappe of a double-napped cone, and the plane is parallel to the generating line of the cone.
2.) A plane intersects both nappes of a double-napped cone, and the plane does not intersect the vertex.
3.) A plane intersects only one nappe of a double-napped cone, and the plane is not parallel to the generating line of the cone.
4.) A plane intersects only one nappe of a double-napped cone, and the plane is perpendicular to the axis of the cone.

Click here to see answer by jim_thompson5910(35256)

Question 1079788: A plane intersects only one nappe of a double-napped cone such that it is parallel to a generating line.

Which conic section is formed?
ellipse
parabola
hyperbola
circle

Click here to see answer by Boreal(15235)

Question 1079867: how many vertice does the voronoi diagram of p have ? wher considerthe set of points p=[(0,0),(1,7),(2,2),(3,4),(6,3)}.

Click here to see answer by ikleyn(52777)

Question 1081123: a wire of circular crooss section has a diameterof 2mm and a length of 350 m if the mass of the wire is 6.82kg calculate its density in g/cm3

Click here to see answer by Alan3354(69443)

Question 1081128: 2 and half litres of oil are poured into a container whose cross section is a square of side 12 and half cm . How deep is the container?
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Question 1081914: The focus of a parabola is (3,−7) and the directrix is y=−4.

What is an equation of the parabola?
(x−3)2=−6(y+5.5)
(x−3)2=−3(y+10)
(x−3)2=−12(y+10)
(x−3)2=−1.5(y+5.5)
Click here to see answer by Boreal(15235)

Question 1081913: The equation of a parabola is given.

y=14x2−3x+18

What are the coordinates of the focus of the parabola?
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Question 1082321: A square piece of paper is rolled into a cylinder of volume 250 cubic centimeters. What are the dimensions of the square?
Click here to see answer by Alan3354(69443)

Question 1082319: A regular hexagonal pyramid has 24 cm sloping edge. If the length of side of the hexagon is 12 cm. How to calculate its surface area and volume?
Click here to see answer by solver91311(24713)

Question 1082549: The surface area of a cylinder is 600 pi centimeters squared. If the radius is 1 cm, find the volume in terms of pi.
Click here to see answer by Theo(13342)

Question 1082949: The altitude of a certain circular cone is the same as the radius
if the base is measured as 12 cm with a possible error of 0.04 cm.
Find the approximate percentage error in the calculated value of
the volume.
Click here to see answer by Edwin McCravy(20054)

Question 1083190: A cylindrical tank standing upright (with one circular base on the ground) has radius 20cm. How fast does the water level in the tank drop when the water is being drained at 25cm33/sec?
Click here to see answer by josmiceli(19441)

Question 1083191: A large cone of given size is being drained of water at the constant rate of 15 cubic cm each second. The water's surface level in the cone falls as a result. At what rate is the water level falling when the water is 4cm deep?
Click here to see answer by Alan3354(69443)

Question 1085115: Brad has a cylindrical barrel with radius 10 inches and height 15 inches. He wants to fill it from a well, using a bucket in the shape of a hemisphere with a radius of 10 inches. How many trips must Brad make to the well in order to fill the barrel?
Click here to see answer by Boreal(15235)

Question 1085861: An ice cream scoop scoops out ice cream spheres with radius 1 inch. How many scoops are needed to fill an ice cream cone with radius 2 inches and height 5 inches?
Click here to see answer by Cromlix(4381)

Question 1085895: A solid sphere of ice with radius 4 is placed on a hollow cone (vertex pointed down) of radius 4 and height 5. When the ice melts, how much of the water will overflow the cone? Express your answer as a common fraction in terms of pi.
Click here to see answer by ikleyn(52777)

Question 1086016: a sphere of radius 5 cm and a right circular cone of base radius 5 cm and height 10 cm stand on a plane. find the position of a plane that cuts the two solids in equal circular cross sections
can u draw this problem.. i want to compare it my drawing is same yours..
Click here to see answer by Fombitz(32388)

Question 1085995: a solid has a circular base of radius 20 cm. find the volume of the solid if every plane section perpendicular to a certain diameter is an equilateral triangle
Click here to see answer by ikleyn(52777)

Question 1085987: a sphere of 10 m and a right circular cone of base radius 10 m and height 15 m stands on a table. at what height from the table should the two solids be cut in order to have equal circular sections
Click here to see answer by ikleyn(52777)

Question 1085992: a right circular cone has an altitude of 18 inches and a radius of 8 inches and is 1/4 filled with water. find the height of the water

Click here to see answer by ikleyn(52777)

Question 1087589: An equilateral triangle of side 12 centimeters is rotated about an altitude to form a cone. What is the number of cubic centimeters in the volume of the cone?
Click here to see answer by Alan3354(69443)

Question 1087590: The point at (a, b) on a Cartesian plane is reflected over the y-axis to the point at (j, k). If a + j = 0 and b + k = 0, what is the value of b?
Click here to see answer by MathLover1(20849)

Question 1087817: the total area of a regular dodecahedron is 288 square root of 3 inches squared, find the measure of an edge.
Click here to see answer by Edwin McCravy(20054)

Question 1091783: The external dimensions of a open wooden box are 98cm by 84cm by 77cm. If the wood is 2 cm thick all around, find the volume of the wood used to make the box. Also find the weight of the box in kg if 1 cm3 of wood weights 0.8gm.
Click here to see answer by ikleyn(52777)

Question 1093595: the diameter of a sphere and the base of a cone is equal. what percentage of that diameter must the cones height be so that both volumes are equal?9
Click here to see answer by KMST(5328)

Question 1095732: 8 liters of water are poured into an empty cylindrical jug of internal diameter 20cm. Find the height of the water level, correct to the nearest cm.
Click here to see answer by josgarithmetic(39617)

Question 1095734: The curved area of a solid cylinder is 880cm2 and its height is 10cm. Find the circumference and area of a base of the cylinder.
Click here to see answer by josgarithmetic(39617)

Question 1098008: each side of a cube is increased by 1% by what percent is the volume of the cube increased?
Click here to see answer by KMST(5328)

Question 1098343: 1.
2.
3.
Click here to see answer by richwmiller(17219)

Question 1098367: 1.
2.
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Question 1098747: What is the maximum number of bottles, each of diameter 8 cm, that can be packed into a box with a square base measuring 792 cm by 792 cm?
Click here to see answer by jorel1380(3719)

Question 1099869: a 6 foot long pipe has an outside diameter of 2.50 inches and the volume of the pipe is equal to 429 cubic inches. find the wall thickness?
Click here to see answer by richwmiller(17219)

Question 1099934: An earth satellite has an apogee of 2450 miles and a perigee of 410 miles. Assuming that the earth's radius is 400 miles, what is the value of the eccentricity of the ellipse, which forms with the center of the earth at one focus and whose apogee and perigee satisfy the condition above?
Click here to see answer by ikleyn(52777)

Question 1100341: A roll of news paper of length 7000m and thickness 0.022cm is rolled into a solid cylinder. Then it's radius is what?
Click here to see answer by greenestamps(13198)

Question 1102264: Find the volume of a right circular cylinder with volume 1000 cm^3 and surface area 600 cm^2.
Click here to see answer by Alan3354(69443)

Question 1102265: Find the dimensions of a right circular cylinder with volume 1000 cm^3 and surface area 600 cm^2.
Click here to see answer by josgarithmetic(39617)

Question 1103171: In the rectangular prism shown, Z is the midpoint of XW. Find
a) VX
b) the angle RXV
c) YZ
d) the angle YZU
Click here to see answer by Fombitz(32388)

Question 1104057: the total area of a cylinder is 40pi. If h=8, find r.
Click here to see answer by greenestamps(13198)

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