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

Tutors Answer Your Questions about Bodies-in-space (FREE)

Question 1178403: a closed cylindrical tank is 8 feet long and 3 feet in diameter. when lying in a horizontal position, the water is 2 feet deep. if the tank is the vertical position, the depth of water in the tank is?
Click here to see answer by mananth(16946)

Question 1178422: spherical balls 1.5 cm in diameter are packed in a box measuring 6 cm by 3 cm by 3 cm. if as many balls as possible are packed in the box, how much free space remains in the box?
Click here to see answer by MathLover1(20849)

Question 1178402: a cylindrical container tank, lying horizontally, 0.90 m. in diameter and 3m long is filled to a depth of 0.60m. how many gallons of water does it contain if one cubic meter is 265 gallons.
Click here to see answer by htmentor(1343)

Question 1179312: A solid cone has a circular base of diameter 10cm and a total surface area of 285cm. Find its slant height
Click here to see answer by amarjeeth123(569)

Question 1179312: A solid cone has a circular base of diameter 10cm and a total surface area of 285cm. Find its slant height
Click here to see answer by MathTherapy(10552)

Question 1179312: A solid cone has a circular base of diameter 10cm and a total surface area of 285cm. Find its slant height
Click here to see answer by greenestamps(13200)

Question 1179462: 85 = k10
Click here to see answer by MathLover1(20849)

Question 1180594: https://media.discordapp.net/attachments/742028999940767776/844256150996254740/unknown.png
Click here to see answer by ikleyn(52781)

Question 1180609: A cone and a hemisphere of equal surface area each
have a 3-inch radius. What is the height Of the
cone?
Click here to see answer by MathLover1(20849)

Question 1180622: A decagonal trapezohedron has 20 faces, each of
which is a kite. How many vertices are there on a
decagonal trapezohedron?
Click here to see answer by MathLover1(20849)

Question 1180622: A decagonal trapezohedron has 20 faces, each of
which is a kite. How many vertices are there on a
decagonal trapezohedron?
Click here to see answer by ikleyn(52781)

Question 1180622: A decagonal trapezohedron has 20 faces, each of
which is a kite. How many vertices are there on a
decagonal trapezohedron?
Click here to see answer by greenestamps(13200)

Question 1181645: The ball of a float valve has a diameter of 4 in., and the thickness of the metal is 0.05 in. How much does it weigh if it is made of copper? (Copper weighs 556 lb. per cu. ft.)
Click here to see answer by mananth(16946)

Question 1181644: A cylindrical post 6.28 in. in diameter is sur- mounted by a part of a sphere 5.16 in. in radius, as shown in the figure. Find the surface and the volume f the part of the sphere used.
Click here to see answer by Edwin McCravy(20055)

Question 1181643: four grapefruit (considered spheres) 6 in. in diameter are placed in a square box whose inside base dimensions are 12 in. in the space between the first 4 grapefruit a fifth of the same diameter is placed. how deep must the box be so that the top will just touch the fifth grapefruit.
Click here to see answer by ikleyn(52781)

Question 1183110: The total surface area of two metallic solid spheres is 116cm² and their radii differ by 3cm. Find the radius of each sphere.
Click here to see answer by Solver92311(821)

Question 1186731: In the image, what is an angle? Here is a link to the image: https://imgur.com/a/7AJyzmY
Click here to see answer by ikleyn(52781)

Question 1188656: Two solids are described in the list below.
One solid is a sphere and has a radius of inches.
The other solid is a cylinder with a radius of inches and a height of inches.
What is the difference between the volumes, in cubic inches, of the solids in terms of ?
Click here to see answer by Alan3354(69443)

Question 1189016: A water tank is made in the form of a right cylinder capped by hemispheres at both ends. The cylinder has a base radius of 40 cm and an altitude of 50 cm. (a) find the total capacity of the tank. (b) if the tank contains 300 l of water, find the area of the wetted surface.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1189050: A sphere is placed in a cubical container in such way that the faces of the container are tangent to the sphere. The remaining space of the container is filled with one kilogram of water. What is the radius of the sphere?
Click here to see answer by Alan3354(69443)

Question 1189065: If a sphere of radius 8m rests in a circular hole of radius 3m. How far below the plane of the hole does the sphere extend?

Click here to see answer by Alan3354(69443)

Question 1189065: If a sphere of radius 8m rests in a circular hole of radius 3m. How far below the plane of the hole does the sphere extend?

Click here to see answer by ikleyn(52781)

Question 1189063: A sphere 12 cm in diameter is inscribed in a cylinder. a. What is the area of the sphere? b. What is the lateral area of the cylinder? c. What is the volume of the sphere?
Click here to see answer by Alan3354(69443)

Question 1189061: A square is inscribed in a small circle of a sphere whose great circle has a radius of 7cm. If the plane of the square is 8cm from the center of the sphere, find the perimeter of the sphere.

Click here to see answer by greenestamps(13200)

Question 1189064: If a sphere has a radius of 6cm rests on 3 horizontal wires forming a plane triangle whose sides are 5cm, 12cm, and 13cm. Find the height of the top of the sphere above the plane of the wires.

Click here to see answer by ikleyn(52781)

Question 1189059: An ornamental spherical ball made of bronze has an outer diameter of 1.7m and a uniform thickness of 12cm. If bronze weighs 8.5 gm/cm^3, find the weight of the ball.
Click here to see answer by ikleyn(52781)

Question 1189060: Find the thickness of the spherical shell. Two metal spheres of radii 8cm and 13cm , respectively are melted down and a cast into a hallow sphere of external radius 15cm.
Click here to see answer by Boreal(15235)

Question 1189070: A sphere of radius 6 cm rests on 3 horizontal wires forming a plane triangle whose sides are 5 cm, 12 cm, and 13 cm. find the height of the top of the sphere above the plane of the wires.
Click here to see answer by ikleyn(52781)

Question 1189071: An ornamental spherical ball made of bronze has an outer diameter of 1.2 m and a uniform thickness of 13 cm. if bronze weighs 8.5 gm/cm3, find the weight of the ball.
Click here to see answer by ikleyn(52781)

Question 1189051: The stem of a metallic candlestick has of a spherical cone. The altitude of the conical part is 15 cm and the radius of the base is 2 cm. find the amount of material required to make 250 stems.
Click here to see answer by ikleyn(52781)

Question 1189057: On a sphere of diameter 125cm, two circles of the sphere whose planes are parallel have a radii 23cm and 53cm, respectively. Find the area of the zone included between these circle.
Click here to see answer by Edwin McCravy(20055)

Question 1189058: A hallow metal sphere 45cm in diameter is as a float. If the metal sphere sinks of the depth of 15cm,
what is the area of the wetted surface?

Click here to see answer by ikleyn(52781)

Question 1189047: A metallic sphere 50 cm in radius is made into the largest right circular cone whose altitude is three times the radius of the base. What percent of the original metal can be saved.
Click here to see answer by ikleyn(52781)

Question 1189062: A sphere circumscribes a right circular cylinder of altitude 9 cm and diameter 7 cm, find the ratio of their (a) volumes (b) total surfaces areas.
Click here to see answer by Boreal(15235)

Question 1189138: An open-topped cylindrical pot is to have volume 55 cm3. Determine the minimum possible amount of material used in making this pot? Show your complete solution
Click here to see answer by Boreal(15235)

Question 1189137: An open-topped cylindrical cup is to have volume 125 cm3. Determine the minimum possible amount of material used in making this pot? Neglect the thickness of the material as well as possible wastage. Give your answer accurate to 2 decimal places.

Click here to see answer by ankor@dixie-net.com(22740)

Question 1189158: A cylindrical can without a top is made to contain 75 in^3 of liquid. Find the dimensions that will minimize the cost of the metal to make the can.
Click here to see answer by ikleyn(52781)

Question 1189146: An open-topped cylindrical pot is to have volume 55 cm3. Determine the maximum possible amount of material used in making this pot? Show the diagram and your complete solution
Click here to see answer by ikleyn(52781)

Question 1189147: An open-topped conical birthday hat is to have volume 55 cm3. Determine the minimum possible amount of material used in making this pot? Show your complete solution and diagram
Click here to see answer by ankor@dixie-net.com(22740)

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