(b) Find the surface area of a hemisphere of radius a.

Q: Use polar coordinates to find the volume of a sphere of radius a.

A:

Q: 11. Derive the formula for the total surface area of a right circular cone with radius r and…

A: To find the formula for the total surface area of a right circular cone with radius r and height h.

Q: A regular hexagonal prism is inscribed in a cylinder of radius 6 and height 4. What is the surface…

A:

Q: What is the spherical excess of a 600 cu cm spherical pyramid extracted from a sphere of radius 10…

A:

Q: What is the surface area of the figure as drawn below?

A: Given,

Q: 1) Find the lateral surface area of the regular pyramid. 13 f 10 ft Round your answers to the…

A:

Q: A frustum of a cone has base radii 2 and 5 and height h=4 h What is the surface area of the frustum…

A:

Q: Find the Lateral Surface Area of the following pyramid. Round your answer to the nearest tenth.

A: Find the Lateral Surface Area of the following pyramid. Round your answer to the nearest tenth.

Q: what is the surface area of the following sphere with radius 7mi?

A: Given that radius of sphere is 7m.

Q: What is the surface area of this cone?

A: To find: The surface area of the cone. Given: The radius of the cone is 9 inches and height of the…

Q: what is the surface area of concentric spheres?

A: Let's find.

Q: Find the surface area of a sphere of radius .

A:

Q: Two cubes each of volume 27 cm3 are joined end to end to. Form a solid. Find the surface area of the…

A:

Q: For a sphere whose radius has length 7 cm, find the approximate a) surface area. b) volume.

A: surface area of a sphere is 4πr2 square unitsvolume of a sphere is 43πr3 cubic units.where r is the…

Q: Calculate the volume of a cylinder inclined at an angle θ = 30◦ with height 10 and base of radius 4…

A: Given,  A cylinder with height 10 and base of radius 4. Also, it inclined at an angle of θ=30°.…

Q: Calculate the surface area of a sphere of radius a.

A:

Q: What is the surface area of the Right Cylinder below Diameter AB%3D37, and height BC=26.

A: We have to find the surface area of right cylinder

Q: Find the surface area of the right triangular prism (above) using its net (below).

A:

Q: What is the area of the curved surface of a right circular cone of radius 60 and height 11? The area…

A:

Q: Find the volume of liquid needed to fill a sphere of radius R to height . R y

A:

Q: explain the cavalieri- archimedes handout, how archimedes calculated the surface area of a sphere of…

A: consider the equation

Q: A yo-yo is made from a sphere by removing a slice from its center, as in Figure 6.35. Suppose the…

A:

Q: Find the surface area of the sphere with radius of 7 in. Leave your answer in terms of 7.

A: surface area of sphere = 4πr2 r = radius of sphere

Q: What is the surface area of a right cone whose base diameter is 40 cm and whose height is 21 cm?

A:

Q: Find the area of the Earth's surface which lies further north than the 45°N latitude. Assume the…

A:

Q: Find the surface area of this cone.

A: Find the surface area of the cone.

Q: 2. Find the surface area of a right circular cone with a radius of 6 ft and a slant height of 11 ft.

A: we have to find the surface area of the cone.

Q: Find the Lateral Area of the triangular prism below.

A:

Q: A pyramid that has a square base with length 12 and height of pyramid is 8 and the lateral edge is…

A: For a square pyramid, we have base b = 12, height h = 8 and the lateral edge e = 11.7.

Q: A cylindrical storage building has a height of 11 m and a diameter of 13 m.  Determine the surface…

A:

Q: Find the center of mass for a quarter of a regular circular plate of radius (b) b

A:

Q: Use what you know about an icosahedron to derive a formula for its surface area. What is the surface…

A: The area of an equilateral triangle is calculated using the formula: A=34a2, where a is the length…

Q: Find the surface area of the sphere with the given dimension. Leave your answer in terms of T.…

A:

Q: 1. Derive the formula for the total surface area of a right circular cone with radius r and altitude…

A: The right circular cone can be drawn as,

Q: Find the surface area of a sphere with a 3ft radius in terms of ?

A:

Q: Show the surface area and volume of a sphere with radius ris 47r² and ¹³ πι respectively.

A: The objective is to show that the surface area and volume of a sphere with radius r is 4πr2 and…

Q: What is the surface area of this cylinder

A: surface area of cylinder =A r=radius = 3 in h = height =10 in

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: What is the difference in volume between a sphere with radius rr and a sphere with radius 0.3r0.3r?

A: Given query is to find the difference in the volume.

Q: 9. A cone has a circular base with a diameter of 18 inches and has a height of 12 inches. To the…

A: The lateral area of cone is given by AL=πrh2+r2.

Q: 2,5in. 2 in.

A: Please see the answer in Step 2 .

Q: A hole of radius 6 cm is drilled through the center of a sphere of radius 10 cm. How much of the…

A:

Q: Find the volume of spherical segment of one base and altitude h cut from a  sphere of radius a.

A:

Q: 4. Use Maple to draw the torus whose equation in spherical coordinates is given by p= sin(ø), and…

A: Given Use Maple to draw the torus whose equation in spherical coordinates is given by ρ=sinϕ.

Q: A right-circular cylinder is to be inscribed in a sphere of given radius. Find the ratio of the…

A:

Q: 4 ст 3 ст 23 ст Calculate the surface area. ст?

A: Formulas for area of triangle and area of rectangle are used

Q: what is the surface area of a circular cone with a radius of 6ft and a height of 14ft?

A:

Q: A light bulb is designed by revolving the graph of y = the surface area of the bulb and use the…

A:

Q: . A cone with radius 9 and slant height 15 has volume ___and lateral area____?

A: to find the volume and lateral area.

Q: Calculate the surface area of the object obtained by rotating the following shaded area around…

A: Given the sketch of the shaded region Find the surface area of the object obtained by rotating the…

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.