explain the cavalieri- archimedes handout, how archimedes calculated the surface area of a sphere of radius r.

Q: What is the surface area?

A: Given object is a pyramid, with an equilateral triangle as base having equal sides of 6 cm. The…

Q: 6) Find the lateral surface area of the cone.

A: Given,            The figure of a cone is shown below :

Q: A machinist is required to manufacture a circular metaldisk with area 100 cm2 .(a) What radius…

A: Let the radius = r cm  So the area is =πr2 cm2 .

Q: The altitude of a spherical segment is 12 cm drawn on a sphere whose diameter is 50 cm. The radius…

A: Here I am attaching image so that you understand each and every step.

Q: What is the surface area of a sphere whose diameter is 12.1? Use π = 3.14 as needed. Round to two…

A:

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: Find the surface area of a sphere of radius .

A:

Q: what is the lateral edge opf acube with a surface area of 294

A: Given the surface area of a cube is 294 . To find the lateral edge of a cube .

Q: Find the area of the circular washer with outerradius 2 and inner radius 1, using simple geometry.

A:

Q: Find the area of lateral surface of a frustum of cone with altitude 4m. Radius of upper and lower…

A: Explanation: Here in the given question, we have a height/Altitude of a frustum of cone = 4m The…

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

A:

Q: Given a right circular cone of radius 6 cm and height 10 cm, find the following: 1. Lateral area 2.…

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: What is the area of this trapezoid?

A: Our Aim is to find the Area of Trapezoid having height (h)=7 inch,b1=12 inch and b2=8 inch

Q: What is the area of the trapezoid ?

A: We can use the mensuration in order to solve the given problem.

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

A:

Q: True or False The surface area of a sphere of radius r is 4/3 πr

A: Surface area of a sphere of radius of radius r is 43πr.

Q: Which is a possible cross section of a cylinder?

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 a ring-shaped object that is bounded by two concentric circles? O radius

A: What is the ring shaped object bounded by two concentric circle

Q: what is the surface area expressed as a

A:

Q: Develop surface of a cone having base radius 4.5cm and slaint height 10cm.

A: Develop surface of a cone having base radius 4.5cm and slaint height 10cm.

Q: Assume that a cell is a sphere with radius  or 0.001 centimeter, and that a cell’s density is 1.1…

A:

Q: Find the lateral area of a right octagonal prism with height 12 and baseedge 7.

A: Given  The height 12 and base edge 7 of right octagonal prism .

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

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Q: What is the surface area of the cylinder with height 8 yd and radius 3 yd? Round your answer to the…

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

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: How does the area formula for a trapezoid work?

A:

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

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Q: Calculate the lateral surface area of a hollow lampshade shaped as a frustum of a cone. The lower…

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Q: A cylindrically-shaped paper drinking cup is to be made to hold 27 cm³ of water. Find the height and…

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Q: he's fear has the volume of 4189 cm³. What is the approximate radius of the sphere

A: Option D correct  Ans: 10cm

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 a sphere whose dimeter  is 11.5? use  π  = 3.14 as needed. round to two…

A:

Q: What is the surface area of this cylinder

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

Q: Find the area of the circular washer with outer radius 2 and inner radius 1, using (a) Fubini’s…

A:

Q: Find the radius and height of the open right circular cylinder of largest surface area that can be…

A: Given, Open Right circular cylinder Sphere

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: Find the surface area and volume of the sphere.

A:

Q: What is the surface area of the net shown?

A: Given: Suppose the dimensions of each smaller square box be 1 unit by 1 unit. Lets divide the whole…

Q: Kia's Cookies are cylinders, approximately 4 cm in diameter and 1 cm high.  If Kia packs the cookies…

A:

Q: Find approximately the difference between the areas of two spheres whose radii are 3 feet and 3.04…

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Q: What is the surface area of a sphere whose diameter is 10.4? Use π = 3.14 as needed. Round to two…

A:

Q: What is the fomula for the volume of a sphere?

A: A sphere is a set of points in space that are a given distance r from the center.

Q: Find the surface area of the sphere below. 3.1 m

A: We know that Surface Area of Sphere = 4πr2 where r is the radius of the sphere.

Q: What is the area of the trapezoid?

A: Given,

Q: For a sphere whose radius has length 3 m, find the approximate a) surface area. b) volume.

A:

Q: Find the surface area of a sphere if the radius has the length 7 in. Use 7

A: Given: Radius of the sphere is 7 in. Surface area of the sphere is given by: S=4πr2 Therefore,…