A jacuzzi is in the shape of a right rectangular prism its length is 6 ft., its width is 8 ft., and it has a depth of 4 ft. Find the measure of the lateral area, surface area, and volume. Round to the nearest tenth.

Q: Given the lateral surface area of a right circular cylinder which is 54n cm² and its height is 9 cm,…

A: The lateral surface area is given as 54π cm2 and height h is given as 9 cm. The lateral surface area…

Q: Find the radius of a cone with a volume of 135 ft^3 and a height of 6 feet .

A: Volume of cone can be used to find out the radius of the cone

Q: If in the frustum of a cone the diameter of the upper base equals the slant height, find the lateral…

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Q: a sphere inscirbed in a right circular cone whose slant height has a length equal to the diameter of…

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Q: A cylindrical can has a radius of 5inches and a height of 7inches . A rectangular prism has the same…

A: cross section area of cylinder

Q: A cylinder has a diameter of 5 cm and a height of 6 cm. What is the lateral surface area rounded to…

A: From the given problem:   Diameter=d=5cm So, Radius=r=d2=52=2.5cm Height=h=6cm   As we know that the…

Q: Two similar pyramids have lateral areas 8 ft 2 and 18 ft 2 If the volume of the smaller pyramid is…

A: If we let "s" be the length of a side in the smaller pyramid and "S" be a length of a corresponding…

Q: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm, and 12 cm. The altitude of…

A: Given: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm and 12 cm. The…

Q: A sphere has a surface area of 2463 square inches. What is the approximate radius?

A: Given that surface area of sphere=2463 square inchessurface area of sphere=4πr2r2=surface area of…

Q: An ice cream cone has a surface area of 306 cm2 and radius of 5 cm what is the slant height, to the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Given a square pyramid with the base edge of 10 m. and slant height of 6 m. Find the measure of the…

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Q: Find the volume of the sphere given its radius is 5.5 cm. If necessary, round to the nearest tenth!

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Q: A right cone has a base diameter of 8 in. and a volume of 259 cubic inches. Determine the slant…

A: Given the diameter and volume of a right cone. We need to find the slant height.

Q: In excavating for a new house, a contractor digs a hole in the shape of a right rectangular prism.…

A: The amount of dirt removed is equal to the volume of hole. The hole is in the form of a right…

Q: For an aluminum can, the lateral surface area is 127 in?. If the length of the altitude is 1 in.…

A: Here, the aluminium can is in cylindrical shape.Let,Height of the can = hRadius of the can = rGiven…

Q: The bases of a right prism is a hexagon with one of each side equal to 6 cm. The bases are 12 cm…

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Q: The following right prism is 3cm by 4 cm by 4cm. What is the surface area and volume of this prism?

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Q: The sphere and cone have equal volumes. 8 in. 4 in. What is the height of the cone? (Note: The dra

A: We have to find the height of cone.

Q: A monument outside city hall has dimensions as shown in the figure below. If one gallon of paint can…

A: Surface Area

Q: A cone was created by rolling a thin sheet of metal into the shape of a 72cm diameter sector of a…

A:

Q: A 3​-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the…

A: Circles

Q: Find the lateral area and surface area of each right prism or cylinder. Round to the nearest tenth,…

A: length ofcylinder =h=20yd diameter ofcylinder =d=10yd radius=r= d/2=5yd Lateral Area = 2*pi*r*h…

Q: Find the lateral and total surface area of each prism. Round to the nearest whole number if…

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Q: What is the radius of a sphere with a surface area of 156 cm2? Round your answer to the nearest…

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Q: A basement for a 25 ft by 42 ft house is to be dug at a depth of 8 feet. How many cubic yards of…

A: Given: Size of basement is 25 ft×42 ft and depth of house=8 ft.

Q: The base area of a square based prism is 25 ft.² one of the lateral side faces of the prism is 30…

A: Given query is to find the total surface area of the prism.

Q: Find the lateral area of the square pyramid shown, to the nearest whole number. 38 yd 42 yd Not…

A: Area of square pyramid is given by formula below

Q: What is the volume, in cubic ft, of a cylinder with a height of 17ft and a base radius of 5ft, to…

A:

Q: A building in the shape of a cube has a width of 63 ft., a length of 63 ft., and a height of 63 ft.…

A: Given:

Q: What is the volume, in cubic ft, of a cylinder with a height of 15ft and a base radius of 1oft, to…

A: Given: h=15ft r=10ft The formula for volume is πr2h

Q: What is the radius of a hemisphere with a volume of 324 ft°, to the nearest tenth of a foot?

A: Volume of hemisphere with radius r is given by, V=23πr3

Q: What is the radius of a hemisphere with a volume of 165 cm³, to the nearest tenth of a centimeter?

A: Given: Volume of the hemisphere=165 cm3

Q: 23.) To the nearest whole number, what is the surface area of a cone with radius of 14 cm and a…

A: Given  Radius = 14 cm and  Slant = 18 cm

Q: A spherical wedge is cut with a central angle of 45° and has a volume of 120 cu cm. What is the…

A: Solution:Given ;Wedge angle =θ =45°volume of spherical wedge =120cm3radius of sphere =r=?we know…

Q: If a sprinkler head rotates 180° and has enough pressure to keep a constant 25-foot spray, what is…

A:

Q: The radius of a cylindrical construction pipe is 2 ft, if the pipe is 21 ft long,what is the volume

A: Given that the radius of the cylindrical pipe is 2ft and its height is 21 ft. The volume of the…

Q: in a frustum of a right circular cone, the diameter of the lower base is 24 ft, while the diameter…

A: Radius of the upper and lower base of frustum is 242=12 ft and 142=7 ft respectively.

Q: Given the circumference of the base which is 67 ft. and its altitude of 10 ft., what is the volume…

A: The volume of a cone s calculated using the formula: V=13πr2h, where r is the radius of the base and…

Q: Find the surface area of a rectangular prism that is 12 ft by 20 ft by 6 ft.

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Q: The volume of a cone shaped object is approximately 277 ft3 If the height of this cone is 9 ft, what…

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Q: The bases of a right prism is a hexagon with one of each side equal to 8 cm. The bases are 15 cm…

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Q: A cylindrical tank must be constructed to hold 25,000 gallons of water. If the diameter of the tank…

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Q: Find the Lateral and Total Surface Area of the Regular Pyramid. (Nearest whole Number) 9 mi 7 mi

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Q: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: Given The church steeple in the shape of a  regular square pyramid ,the each lateral edge measure 15…

Q: Whats the radius and height of a cone with slant height of 14.4cm and a curved surface area of…

A: Topic :- geometry

Q: 25 in. 24 in. 15 in.

A: Formula of Lateral area, AL=12×PB×HS For pentagonal pyramid, PB=5a HS=h2+1205+25a2

Q: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: Given that, The base length of a square pyramid = 14 ft. The lateral or side length of the square…

Q: The volume of a right circular cone is 967 in'. If the radius of the base measures 6 in., find the…

A: Since, we have been given that the volume of a right circular cone is 96π inch3.Also, we have been…

Q: Calculate the area of a rhombus with sides measures 10 inches and a longer diagonal measuring 16…

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