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Question 1135909: A cone is circumscribed by a hemisphere radius which is equal to the height of the cone. Find the ratio of the volume of the cone to the volume of the hemisphere.
Click here to see answer by ikleyn(52781)

Question 1135896: A cone is circumscribed by a hemisphere radius of which is equal to the height of the cone. Find the ratio of the volume of the cone to the volume of the hemisphere.
Click here to see answer by ikleyn(52781)

Question 1136029: Hi!
I am having some trouble with this geometry problem:
A prism, bases of which are equilateral triangles, circumscribes a sphere of radius 6. What is the volume of the prism?
I know that the height of the prism is 12, because the radius of the circle is 6, so you double it to get the diameter and the height of the prism.
Click here to see answer by greenestamps(13200)

Question 1136326: Find the equation of the sphere with diameter endpoints (2, -7, -2) and (-4, 3, 2).
Click here to see answer by Alan3354(69443)

Question 1136326: Find the equation of the sphere with diameter endpoints (2, -7, -2) and (-4, 3, 2).
Click here to see answer by ikleyn(52781)

Question 1136408: A plane is passed parallel to the base of a right circular cone. The distance from the vertex to this plane is two-fifths the altitude of the cone. What is the ratio of the volume of the frustum to the volume of the cone.
Click here to see answer by ikleyn(52781)

Question 1136495: A cross section of a dam wall with length 6m breadth 3m and height 15m, how many m^3 of concrete will it take to buid a 100m length of this wall
Click here to see answer by josmiceli(19441)

Question 1136521: Water flows through a 7cm diameter pipe at the rate of 4meter/seconds.
1. How many cm^3 of water flows the pipe in one seconds
2. Express the flow of water as a rate in liters/minute
Click here to see answer by Boreal(15235)

Question 1136520: Water flows through a 7cm diameter pipe at the rate of 4meter/seconds.
1. How many cm^3 of water flows the pope in one seconds
2. Express the flow of water as a rate in liters/minute
Click here to see answer by Boreal(15235)

Question 1136492: A right pyramid on a base 4cm square has a slant edge of 6cm. Calcilate the volume of the pyramid. Explain with diagram
Click here to see answer by MathLover1(20849)

Question 1136494: A cone of height 9cm has a volume of ncm^3 and curved surface area of ncm^2. Find the vertical angle
Click here to see answer by greenestamps(13200)

Question 1136806: A pryimaid has a triangle base with all edges in the pyrimaid congruent. If one of the sides is 4.5 what is the volume?
Click here to see answer by greenestamps(13200)

Question 1136805: A pyramid has a triangle base and all edges in the pyrimaid are equal. If the volume is 90 what is the area of the base
Click here to see answer by greenestamps(13200)

Question 1137150: A cone of volume 54π is cut by a plane parallel to the base, one third of the way up the height of the cone (from the base). Find the volume of the resulting frustum.
Click here to see answer by ikleyn(52781)

Question 1137154: A frustum of a regular square pyramid has bases with sides of length 6 and 10. The height of the frustum is 12. Find the surface area
Click here to see answer by greenestamps(13200)

Question 1137153: A pyramid of volume 344 square units is sliced into two pieces by a plane parallel to the base of the pyramid and 10 units away from the plane of the base. The volume of the resulting frustum is 301 square units. What was the height of the original pyramid?
Click here to see answer by greenestamps(13200)

Question 1137435: The edges of the bases of the frustum of a regular square pyramid have length 5 and 9, and the slant height of the frustum is 6. What is the surface area of the frustum.
Click here to see answer by ikleyn(52781)

Question 1137432: A cone frustum is inscribed in a sphere of radius 13. If one of the bases of the frustum is a great circle of the sphere, and the other base has radius 12, what is the slant height.
Click here to see answer by ikleyn(52781)

Question 1137430: A cone frustum is inscribed in a sphere of radius 13. If one of the bases of the frustum is a great circle of the sphere, and the other base has radius 12, what is:
Click here to see answer by ikleyn(52781)

Question 1137434: The edges of the bases of the frustum of a regular square pyramid have length 5 and 9, and the slant height of the frustum is 6. What is the volume of the frustum.
Click here to see answer by greenestamps(13200)

Question 1137914: The diameter of a sphere d is directly proportional to the cube root of the mass w. Given that the mass is 27kg when the diameter is 21cm, find the radius when the mass is 512kg.
Click here to see answer by josgarithmetic(39617)

Question 1138216: A tall cylindrical cylinder 6 cm in diameter contains some water. Nine steel spheres of diameter 4 cm are put into the water. If all the spheres are under water, and no water overflows from the container, then what is the rise in water level in cm?
Click here to see answer by josgarithmetic(39617)

Question 1138274: The altitude of a regular cone is twice its base radius. if its volume is 3,400 cubic meter what is the total surface area?
Click here to see answer by MathLover1(20849)

Question 1138626: A hemisphere with radius 16 centimeters just fits inside a rectangular prism. What is the difference between the volume of the prism and the volume of the hemisphere?
Click here to see answer by ikleyn(52781)

Question 1138628: circular metal pieces, 10cm in diameter, are cut from a rectangular of metal sheet that is 50cm by 40cm. If as many circular pieces as possible are cut out, what percentage of the metal is left over?
Click here to see answer by Boreal(15235)

Question 1138929: Hello!
This is what I have given:
Right Pyramid, ABCD is a rhombus
AB = 6, m∠BAD = 50º, m∠SKO = 40º
SO⊥(ABCD),OK⊥DC
Find: V and Surface Area
Here is the image (copy paste into address bar)
https://homework.russianschool.com/resource?key=00st6
Thanks for helping!

Click here to see answer by ikleyn(52781)

Question 1138930: Hello!
This is what I have given:
Regular Pyramid
LM = 5.2, m∠KFO = 35º
OF⊥ML, KF⊥ML

Find: V and Surface Area
Here is the image (copy paste into address bar)
https://homework.russianschool.com/resource?key=00st9
Thanks for helping!

Click here to see answer by ikleyn(52781)

Question 1139676: A circular metal sheet 48cm in diameter and 2mm thick is melted and then recast into a cylindrical bar of 6cm. Find the length of the bar
Click here to see answer by josgarithmetic(39617)

Question 1140106: the base edges of a frustum as regular square pyramid are 6m and 10m. the slant height of fructum makes with the lower bases an angle of 60 degrees. find the total area of the frustum
Click here to see answer by ikleyn(52781)

Question 1146295: Given: Angle 1 is congruent to angle 3, angle 4 and angle 5 are supplements.
Prove: p //q

Click here to see answer by greenestamps(13200)

Question 1152809: Donatello starts with a marble cube of side length 10. He then slices a pyramid off each corner, so that in the resulting polyhedron, all the edges have the same side length s. Find s.

Click here to see answer by greenestamps(13200)

Question 1153218: A sphere of radius 1 and a sphere of radius 2 are inscribed in a right circular cone so that the larger sphere is on the base and the smaller sphere is right above it. Find the volume of the cone.

Click here to see answer by greenestamps(13200)

Question 1155169: In a subtraction, the larger number consists of 3, 4, 6 and 9 in so.e order and the smaller number consists of 4, 5, 8 and 9 in some order. What is the larger number if the solution to the subtraction is 3497?
Click here to see answer by Edwin McCravy(20055)

Question 1155264: A three-dimensional figure has the following properties:
It has one circular base.
It has a smooth face that diminishes to a single point.
What kind of solid is it?

cylinder

rectangular prism

sphere

cone

Click here to see answer by Alan3354(69443)

Question 1157138: How many feet of copper wire with diameter 1/12
inch can be made from one cubic foot of copper?
Click here to see answer by josgarithmetic(39617)

Question 1157138: How many feet of copper wire with diameter 1/12
inch can be made from one cubic foot of copper?
Click here to see answer by Alan3354(69443)

Question 1157315: Rice is poured on the rice granery giant bowl creating a cone where radius is equal to 3/2 times its height. Express the volume of the conical pile of rice in terms of r.
Click here to see answer by mananth(16946)

Question 1158311: The volume of a large sphere is twice the volume of a small sphere. By what factor do you need to multiply the radius of the small sphere to equal the radius of the large sphere?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1158312: The area of a cross-section parallel to the base of a cone is 30, and the area of the base of the cone is 67.5. If the altitude of the cone is 6, then find the ratio of volumes between the top cone and the frustum.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1158313: The base of a triangular pyramid has side lengths 10, 24, and 26. The altitude of the pyramid is 20. Find the area of a cross-section parallel to the base whose distance from the base is 15.
Click here to see answer by greenestamps(13200)

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