C) The region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a square. Find the volume of this solid.

Q: Use the shells method to calculate the volume of a sphere of radius ?. Let the y axis be the axis of…

A: We have to find the volume of the sphere of radius r using shells method.

Q: The base of a solid is the region between the curve, y?(7 + x) = x²(21 – x), 0 0 and the X – axis.…

A: Consider the provided question, The base of a solid is the region between the curve, y27+x=x221-x,…

Q: Find the volume of the described solid A frustum of a pyramid with square base of side b  ,…

A:

Q: For the right triangular prism found in Exercise 16, suppose that the sides of the triangular base…

A: Given that : For the right triangular prism, the sides of the triangular bases measures 3 ft , 4 ft…

Q: In the accompanying regular pentagonal prism, suppose that each base edge measures 6 in. and that…

A: Given the length of the base edge of a pentagon measures is 6 inches , apothem of base measures 4.1…

Q: Find the volume of a solid where the base of the solid is  a circle with radius 2, and the cross…

A: Let the circle be centered at origin and the radius is 2.

Q: 5. Use the Pappus Theorem to find the volume of the solid formed by revolving the region enclosed by…

A: In this we find the volume of the solid by using pappus theorm.

Q: The volume of the sphere with the radius 5 is cubic units O 125 125 3 O 500 3 O 250 250 3 O 750 3

A: Volume of sphere

Q: A cylinder with height 10 and radius 6 is inscribed in a square prism.Make a sketch. Then find the…

A: Given:         Cylinder with height 10 and radius 6.

Q: ind the volume of the solid whose base is a circular disk of radius R, centered at the origin and…

A:

Q: 11. Find the volume of the a 3-dimensional solid whose base is given below and whose cross sections…

A: TO FIND THE VOLUME OF SOLID GIVEN BELOW FORMED BY THE CURVES  y=4-x2 ; y=0 ;x=0 by using the concept…

Q: Find the surface area and the volume for the following regular pyramids. 10. 11. 12. slant height:…

A: ACCORDING TO BARTLEBY GUIDELINES, SOLUTION OF ONLY 1ST QUESTION WILL BE PROVIDED.

Q: For a right circular cylinder, suppose that r = 6 in and H - 7 in. Find the exact:Total area,…

A:

Q: If the volume of a cone is 6 7 with radius 3, then its height is Select one: O a. 3 O b. 1 c.2 O d.…

A:

Q: Find the volume of the region common to the interiors of the cylinders x2 + y = 1 and x? +z? = 1,…

A:

Q: Consider a prism with a height of 8 inches and a 14-inch by 14-inch square base. Consider a cylinder…

A: Given: Let the length, width and height of the prism be l, w and h. Let the radius and height of the…

Q: Find the volume of the described solid S frustum of a pyramid with square base of side b , squaretop…

A: Given-  Frustum of a pyramid with square base of side b , square top of side  a , and height h. To…

Q: Find the volume of the solid whose base is bounded by the circle x2 + y? = 36 and whose cross…

A: Given query is to find the volume of the give solid.

Q: lateral edges of the  solid measures 7, 3, 2, and 4 inches respectively, determine its volume.

A:

Q: 6. A solid has a circular base of radius 3. What is the volume of the solid if vertical…

A:

Q: In a solid hemisphere, a cone is removed as shown with radius 6 and height 10. Calculate the volume…

A:

Q: Use the Theorem of Pappus to find the volume of the solid that is generated when the region enclosed…

A: y = 8−x² given y = x²     given This means that 8- x² = x² 2x2=8 x=-2,+2 Then, y=4,4

Q: A cone fits insides a cylinder so that their bases are the same and their heights are the same, as…

A:

Q: Find the volume of the region cut from the solid sphere ρ≤ a by the half-planes θ = 0 and θ = π/6 in…

A: Find the volume of the region cut from the solid sphere.

Q: 12. The cylinder to the left contains two congruent hollow cones. If the cylinder's height is 20…

A: As per our guidelines I am solving only first question please resubmit other question.  Given height…

Q: Find the volume of liquid needed to filla sphere of radius R to height . R

A:

Q: Find the volume of the regular pyram e area of the base is 166.276 sq m. The height is 24 m. 8 m

A: The volume of regular pyramid is 13×area of base × height=13×166.276×24=1330.208 m3 The answer is…

Q: Find the volume of the torus (donut) with radii r and R as shown in the figure.

A:

Q: 7) Find the volume of the resulting shape when the shaded area given below is rotated 2 Tt around y…

A:

Q: The edges at a common vertex of a tetrahedron are perpendicular to each other. The lenghts of these…

A:

Q: A right prism with height of 12 units has hexagonal bases with edge of 6 units. Determine the volume…

A: Topic = Volume As per guidelines , At a time only one question can be answered. please repost for…

Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed

A:

Q: 41. Find the volume of the solid which is the intersection of the two cylin- ders in Figure 9. Hint:…

A: Given: A solid with a circular base of radius a. Each plane perpendicular to the diameter AB…

Q: Find the volume.

A:

Q: A right prism has height h and bases that are regular hexagons with sides s. Show that the volume is…

A: It is given that bases are regular hexagons with sides 's'. It clear from the figure that a hexagon…

Q: 35. Find the volume of the “torus" (Figure 3), obtained by rotating the circle (x – a)? + y? = 6² (a…

A:

Q: b) A bead is formed from a sphere of radius 5 by drilling through a diameter of the sphere with a…

A: Given,  Radius of sphere  R= 5  Bead radius   r= 3

Q: 2. Find the largest volume of a cylinder that fits into a cone has base radium R and height

A:

Q: Find the volume of the solid whose base is the region enclosed by y=x^2 and y=1, and the cross…

A:

Q: solid sp

A: We have given solid sphere, that is, cut by plane 30 cm from its center and area of small cut by…

Q: The volume of the sphere with the radius 7 is = %3D cubic units

A: Consider the given: It is given that:Radius,r = 7Volume of sphere = 43πr3

Q: 6.4 in 14 in 17.5 in Find the volume of the rectangular prism.

A: Volume of rectangular prism =lbh Where l is the length of the rectangle  b is the breadth and h is…

Q: 5. A solid is formed by cutting a conical section away from a right circular cylinder. If the radius…

A: Find the volume of the resulting solid.

Q: For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and…

A: a) The measure of the triangular base is 4 m, 5 m and 6 m and the altitude is 7 m. The lateral area…

Q: Breble Find the volume of the solid whose base is the region inside the unit circle x2 + y? = 1, and…

A: We need to find volume.

Q: What is the volume of the torus whose region is inside the circle

A: (x-3)2 + y2 = 1. Take it as the form (x-b)2 + y2 = a2, where b=3 and a=1.

Q: The volume of the sphere with the radius 4 is = cubic units O 384x 3 O 1287 O 64x 3 256 3.

A: Answer: D

Q: Compute the volume lying inside the sphere x? + y? + z? = 37 but outside of x² + y? = 21.

A:

Q: Find the volume of a sphere with a surface area of 144n in?. The volume is in. (Type an exact answer…

A: Our Aim is to find the volume of a sphere with a surface area of 144π inch2.

Q: 1. Use Pappus' Theorem to find the volume V of the torus generated by revolving a circular region of…

A: There are two Theorem by Pappus 1st for surface area of revolution and 2nd for volume of revolution…