Q: The volumes of two spheres are in the ratio 64:27. The ratio of their surface areas will be?
A: Volume of sphere =43πr3Surface area of sphere =4πr2
Q: 1. If the length of the radius of the base of the cone is r, what is the area of its base? 2. If the…
A: Given radius of base of cone is r we have to find the area of its base
Q: 9. Find the Volume of a square pyramid with a slant height of 10 in. and the face has an angle of…
A: Volume of square pyramid =V=13a2h a=base side h=height Let slant height=b angle of inclination =ϕ…
Q: 7) Given the similarity ratio between two octagons is and the perimeter of the smaller octagon is…
A:
Q: e If a nialet circular coue cireular base with a diameter of leneth a volume of 321T Cu Referto…
A:
Q: the volumes of two spheres are in a ratio of 1 : 8. what is the ratio of their radii?
A: Volume is the space covered in three dimensional by the object or any geometric figure. It is the…
Q: A cylindrical soup can has a height of 8 in. and a radius of 3in. If the height is doubled on a…
A: Given that A cylindrical soup can has a height of 8 in. and radius of 3in. If the height is…
Q: Now that you have found the volume and surface area of each shape, find the cost of manufacturing…
A: Let's find.
Q: 12. How many box-shaped scoops 2 in x 2 in x 3 in ar. needed to fill an inverted pyramid shape that…
A:
Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what will be…
A:
Q: In the accompanying regular pentagonal prism, suppose that each base edge measures 8 in. and that…
A: Given base edge = 8 in apothem = 5.5 in height = 10 in
Q: 1. Find the volume and total area of a rectangular parallelepiped which is 15 ft high and the side…
A: Explanation of the answer is as follows
Q: The net of a rectangular prism and its dimensions are shown in the diagram. 7.5 in. 7.5 in. 3 in. 3…
A:
Q: The volumes of two similar solids have an 125: 216 ratio. What is the ratio of their side lengths? O…
A: Volume of solids is directly proportional to the cube of the side length
Q: 15. If 1200 cm² of material is available to make a box with a base and an open top, find the largest…
A:
Q: Two similar pyramids have a surface area ratio of 81:29. Find the volume of the smalller pyramid,…
A: for two similar solidscale factor =abRatio of the Surface Areas=ab2Ratio of volume =ab3
Q: 11. The apothem and the height of a regular four-cornered pyramid are 8 cm and 4 cm respectively.…
A:
Q: 19) For a regular square pyramid, suppose that the altitude has a measure equal to that of 1000 in,…
A: Given:
Q: The monument of Cestius in Rome, which is a square pyramid 121.5 ft. high with a base edge measuring…
A: given base=b=98.4 and heighy=h=121.5
Q: 5) The volumes of two similar solids are 125 cm³ and 64 cm³. a) What is the ratio of their heights?
A:
Q: 1. If the cube has a side lenght of 1 unit, what is the volume 2.) What is the surface area of the…
A: volume = no of cube*(volume of 1 cube) volume = 44*(1*1*1) volume = 44 unit3 now for surface area =…
Q: The ratio of the volume to the lateral area of a right circular cone is 2:1. If the altitude is 15…
A:
Q: The surface area of two similar solids are 45cm2 and 320cm2. 1. What is the scale factor? 2. What is…
A: consider scale factor is ab
Q: 15. A pyramid with a square base and altitude 20 ft is built. If the square is 8 ft on a side, what…
A:
Q: 35. What is the volume of the given square pyramid to the nearest tenth? The figure is not drawn (F…
A:
Q: How many square meters of canvass are required for a conical tent 5.5 m high and 3 m diameter if 10%…
A: Here, we need to find the Lateral surface area of the cone with the given measurements. And, the…
Q: 1.7 m 1.5 m 2.5 m 1.5 m Which of the following is the surface area of the tent, including the ends…
A: Surface area= sum of areas of all faces
Q: Suppose that the base of the square pyramid below has an area of 12 cm2 and that the altitude of the…
A:
Q: What is the VOLUME of the red pyramid? *
A:
Q: 35.) What is the volume of a square pyramid with a base edge of 14 m and a slant height of 25 m?
A:
Q: (8) If 1200 cm? of the material is available to make a box with a square base and an open top, find…
A: The volume of the box V=a2h
Q: 2. Find the density of a 40 gram pyramid with rectangular base 5 cm x 6 cm and height 8 cm. 2.0g O…
A: The volume of the pyramid is given as where l is the length , w is the width and h is the height .
Q: The base diameters of a frustum of a cone measure 2.4 m and 1.8 m and are 3 m apart. Determine its…
A: The Curved Surface Area (CSA) of the frustum of a cone is: = pi * l(R + r) where the (r) stands for…
Q: Use the triangular prism to answer the following questions: 4cm 3,3cm 8cm 6cm 2.1 2.1.1 Draw a net…
A:
Q: 3. Let s and V denote the length of the side and the corresponding volume of a cube, respectively.…
A: given: s and V denote the length of the side and the corresponding volume of a cube. we have to…
Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what wil be…
A: Cylinder, Hemisphere and Cone have same bases i.e. all three have same radii (say r) Also the height…
Q: What dimensions would you need to measure the volume of the following prism?
A: The area of a triangle is calculated as, Here, b is the base of the triangle, and, h is the…
Q: A square based prism and a cylinder both have the same height of 4 cm and the same base area. If the…
A:
Q: The area of the base of a pyramid is 98 in.2, and the height is 8 in. a.) How far from the vertex…
A:
Q: Which fractions were used in Moscow Papyrus 10th problem in solving the surface area of a basket? 1…
A: The solution of Moscow Papyrus 10th problem contains exactly 14 steps. We need to determine the…
Q: . Find the volume of a regular pyramid shown in the figure given a circumscribing circle radius =…
A:
Q: 2. A trapezoid 6 m in altitude have bases of 12 m and 18 m respectively. If it is divided into two…
A:
Q: 1. Why does the formula for the volume of a cylinder include Tr?
A: Given query is to find why does formula of cylinder volume has πr2.
Q: Find the volume of the prisms below. 30.6 cm 31 km 39.4 cm \32.5 km 28 km 25 cm 35 сm а. b.
A:
Q: If two similar solids have a scale factor of a:b, then corresponding areas have a ratio of a2:b2,…
A: Given two similar solids have a scale factor of a:b, so it may be cube , sphere , cone what ever.…
Q: A regular square pyramid has lateral area of 60m^2 and base edge of 6m. What is its volume?
A: Given that, A regular square pyramid has lateral area of 60 m2 and base edge of 6 m. We have to find…
Q: 9. If the exact volume of a right circular cylinder is 200T cm³ and its altitude measures 8 cm, what…
A:
Q: A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the…
A: A 5 cm cube is cut into as many 1 cm cubes as possible. Length of an edge of larger cube is 5 cm and…
Q: A cone has a radius of 9 and a height of 6. What is the volume?
A: Since, the exact question was not specified. We can answer very first question only. To find: The…
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- The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in. are cut from the corners of a rectangular piece of poster board that is 20 in. wide by 30 in. long. Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is doubled while the height is made half as large in forming a new cone, will the volumes of the two cones be equal?
- The base of a right prism is a triangle whose sides have lengths of 9 in. 15.in, The height of the prism is 10 in. find the a Lateral area. b total area. c volume.For a right circular cone, the slant height has a measure equal to twice that of the radius length of the base. If the total area of the cone is 48in2, what are the dimensions of the cone?Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?