Questions on Geometry: Bodies in space, right solid, cylinder, sphere answered by real tutors!

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Question 890997: Question: What is the volume of a can of pasta (cylinder shaped) that is 20 cm tall and has a diameter of 9 cm?

Click here to see answer by harpazo(655)

Question 891676: The volume of a cone having an inclined axis at an angle of 60 degrees with the base is equal to 1884.96 cu.m., find the length of the axis of the cone, if the radius at the base 10m.
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Question 900984: A metal sphere of radius 15 centimeters is melted down and recast into a solid cylinder radius 6. Calculate the height of the cylinder cylinder.
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Question 903131: Find the surface area of a sphere having a diameter of 40.3 in.
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Question 903785: Please write the equation of the spherical surface that contains the points H, T and Q. The coordinates of the points are H(-3,-3,6) ; T(-3,0,0) ; Q(0,-3,0)
Click here to see answer by Alan3354(69443)

Question 912947: I'm studying for the GRE and math isn't my best subject. I have a rectangular solid with length 7, width 10, and height 2. I need to find the diagonal of this solid. I did the Pythagorean triangle equation of 10 squared + 7 squared= c squared. Long story short I got v149 (square root), which is equal to 12.2. However, the correct answer was 3 times the square root of 17, which is 12.36. How am I supposed to get to that form of the answer? My calculator will only show an answer with decimals, not a simplified equation like 3√17 to We're not allowed TI-84 calculators, just basic ones. I need to be able to figure out that type of answer in a short period of time (the section of the test is only 25min) Help!
Click here to see answer by ewatrrr(24785)

Question 914527: How circle is 2d and sphere is 3d ?
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Question 917948: A metal sphere 6cm in diameter is melted and cast into balls of diameter 1/2cm. How many of the smaller balls will be there?

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Question 919392: I have to use the quadratic formula. X^2+6x-5 so far I have -6+-√56/2 how do I simplify the radical? & what would be my answer?

Click here to see answer by MathLover1(20849)

Question 920008: a cylinder tube open at both ends is made of metal. the inner diameter of the tube is 10.4 cm and its length is 25cm the thickness of the metal is 8mm everywhere. calculate the volume of the metal in the cylinder
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Question 921385: 8:4
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Question 922426: The larger sphere is of radius 8cm and is a metal. It is melted down and made into spheres of radius 2 cm. Smaller spheres are of radius 2 cm. How many of the smaller spheres can be made from the larger sphere?
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Question 923581: the diameter of sphere is 18 c.m a wire of 4 m.m diameter is made by melting this sphere .what is the length of a wire?
Click here to see answer by Alan3354(69443)

Question 923582: radius of sphere is 6 c.m ,small sphere are made by melting these sphere.if diameter of each small sphere is 1c.m what is the total no of small spheres?
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Question 924554: How does the volume of a cone change when the radius is quadrupled and the height is reduced to 2/9 of its original size?
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Question 926778: how many tons of steel can be stored in 20ft. ( 38.5 cubic meter ) container
Click here to see answer by Theo(13342)

Question 926854: The two spheres above have the same center. One has a radius of 4 cm, and the other has a radius of 5 cm. Approximately how much space is in between the two spheres
Click here to see answer by ewatrrr(24785)

Question 929784: Please someone help I have Been lost on this problem for 3 days now!!! :-(
The inside of a cylindrical tank used to hold resin must be coated with a corrosion preventative. The tank measures 7 ft. in diameter and 5 ft. in height. One gallon of corrosion preventative will cover 10 ft^2. How many gallons will be needed to coat the tank? Assume that the sides, top, and bottom of the tank will be treated.
Click here to see answer by jim_thompson5910(35256)

Question 930731: Consider what happens when the sides of an 8.5x11 inch piece of paper are taped to form a cylinder. If it is possible, design a rectangular piece of paper with the same area sot hat the volume of one of the cylinders is double the volume of the other cylinder and explain how you found them. If it is not possible, explain why not.
Click here to see answer by josgarithmetic(39617)

Question 933522: WHAT IS THE WEIGHT OF THE HOLLOW SPHERE WITH 230 MM HEIGHT AND INTERNAL RADIUS 2700 MM AND THICKNESS 6 MM?
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Question 935228: A ball of lead 4 cm in diameter is covered with gold .If the volume of the gold and lead are equal,then find the thickness of gold???
@help me sir
Click here to see answer by josgarithmetic(39617)

Question 935226: A conical cup is filled with icecream .The icecream forms a hemispherical shape on its open top.The height of the hemispherical part is 7 Cm.The radius of the hemispherical part equals the heighr of the cone .Then find the volume of the icecream is is ??
plz help me out.
Click here to see answer by josgarithmetic(39617)

Question 935322: I'm having trouble answering this question? Can anyone help Please..
Suppose you double the radius of a right cylinder. How does that affect the lateral area? How does it affect the surface area? Explain why the surface area is not doubled using the proper formula.
Click here to see answer by KMST(5328)

Question 935501: Suppose you double the radius of a right cylinder. Explain why the surface area is not doubled using the proper formula.
Click here to see answer by Theo(13342)

Question 935740: Suppose you are given a sphere with radius r. Which of the following quantities changes at a constant rate per unit change in r?
A. The circumference of the sphere divided by its volume
B. The volume of the sphere divided by its circumference
C. The area of the sphere divided by its volume
D. The volume of the sphere divided by its area

Click here to see answer by Theo(13342)

Question 935773: the ratio of the volumes of two similar rectangular prisms is 125:64. What is the ratio of their base areas?
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Question 937629: How far from the base of a pyramid of altitude 10 meters is a section parallel to the base and equal in area to half of the base?
Click here to see answer by KMST(5328)

Question 938002: How many spheres of radius 0.1 can be made by melting a specific sphere.
Click here to see answer by jim_thompson5910(35256)

Question 941008: Will Someone please help!! I don't know where to start. (I'm given the answer Scale factor = 2.12;The center is the oil drum.) But i'm not sure how to work out the problem!
Oil from a drum leaks into water surrounding the drum, creating a circular oil slick 100 square feet in area. Find the scale factor of the size transformation of the oil slick when it is 450 square feet in area. Round to the nearest hundredth. Where is the center of the size transformation?
Click here to see answer by josgarithmetic(39617)

Question 944619: The diameter of a cone is x cm, the height is 18 cm, and the volume is 96 pi cm cubed. What is x?
Click here to see answer by macston(5194)

Question 947365: If a sphere is made from the three different sphere whose radius are 3 cm , 4 cm and 5 cm respectively then what is the radius of new sphere ? How ?
Click here to see answer by josgarithmetic(39617)

Question 947775: The radius of a golfball is 3cm . The radius of a basketball is 15 cm.
a.Find the volume of golf ball? leave in terms of pi.
b. find the volume of a basketball? leave in terms of pi.
Click here to see answer by Alan3354(69443)

Question 947647: a tin maker converts cubical metallic box into 10 cylindrical tins.Side of the cube is 50 cm and radius of cylinder is 7 cm, find the height of each cylinder so made,if the wastage of 12% is incurred in the process.
Click here to see answer by KMST(5328)

Question 948160: A hemispherical cup is radius 3 inches us filled with milk. The milk is then poured into a right cylindrical container of radius 2 inched. What is the minimum number of inched in the height of the container so it can hold all of the milk? Express it as a decimal.
Click here to see answer by josgarithmetic(39617)

Question 949579: How much lead is needed to coat a cable, 55 mm in diameter, if the cable is 5 km long and the lead coat is 4 mm thick? Use 11.4 x 103 kg/m3 for the density of lead.

Click here to see answer by josgarithmetic(39617)

Question 949576: What would be the dimensions of a steel cylinder in feet if it is to contain 2,020 gallons of water (7.48 gal.=1 ft.3) and it is required to have a height that is equal to its diameter.
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Question 949577: The inside diameter of a garden hose is 3/4 inch. What length of hose can be filled with a gallon of water?
Click here to see answer by Alan3354(69443)

Question 950650: a tank in the form of a right circular cone is 3 ft high and its base is 2ft in radius. it is desired to build a similar tank whose volume is twice as great. what should be the dimension of the larger tank ?

Click here to see answer by josgarithmetic(39617)

Question 953226: Hi there! I am not very good at math and I have been stuck on this question for 20 minutes now. The question is: calculate the volume of a box to hold a sphere-shaped beaker with a volume of 413cm^3. The second part is : how much space is being occupied by the beaker and how much is being wasted, in percents.
Thank you so much, I honestly have no idea what to do.
Click here to see answer by macston(5194)

Question 956378: Two rectangular water tanks with tops on the same level are connected by a pipe through their bottoms. The base of one is 6in higher than that of the other. Their dimensions are 4 by 5 by 2 1/2ft. and 4 by 7 by 3 ft., respectively. How deep is the water in the larger tank when the water they contain equals half their combined capacity, if the 2 1/2ft and 3ft edges are vertical?
Click here to see answer by macston(5194)

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