Given a right circular cone of radius 5 cm and altitude is 10 cm, find the following: Lateral area Total surface area Volume

Q: The volume of a hemisphere is 2425 (1/2) cm3 Find its curved surface area ?

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Q: Given the lateral surface area, find the total surface area of the cylinder. Round to the nearest…

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Q: A hose has a radius of approximately 0.5 in. and a lengthof approximately 20 ft. By what factor does…

A: Assume radius of the hose be r and length be l. Given, r=0.5 inches and l=20 ft

Q: 2. A cone has a volume 7,065 in.3 and a height of 30 inches. What is the radius of the cone?

A: Given: Volume of the cone = 7065 in3  Height of the cone = 30 inches. To Find: Radius of the cone.

Q: 4. A cone has a slant height of 26 inches and a diameter of 48 inches. What is the volume of the…

A: Given slant height = 26 inches Diameter , d = 48 inches Volume , V = ?

Q: The corners of a cubical block touched the closed spherical shell that encloses it. The volume of…

A: Volume of sphere is 4/3πr3

Q: Find approximately the volume of wood required to make a cubical box of edge length 6 ft. using…

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Q: A technician draws plans for 600,000 gallon cylindrical tank with a radius 29.00ft. What should the…

A: Given, Volume of cylinder = 600,000 gallon                                = 600000 gallon * 1ft3 /…

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: Find the volume V and surface area S of a closed rectangular box with length 9 inches, width 4…

A: Given: length 9 inches, width 4 inches, and height 8 inches.

Q: A planer takes a 1/16 in. Cut on a plate that is 3 1/2 in. Thick. What is the thickness of the plate…

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Q: What is the surface area of the cylinder with height 6 mi and radius 3 mi? Round your answer to the…

A: The explanation of solution as follows:

Q: A sphere has a volume of V = 324 in. Find its surface area. The surface area is in. (Round to the…

A: Given that  Volume of a sphere is V=324 in^3 To find Surface area of a sphere

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

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Q: The ratio of the lengths of the radii of two similar cones is 3:5. What is the ratio of the surface…

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Q: Find the volume V and surface area S of a closed rectangular box with length 8 feet, width 4 feet,…

A: L=8,  W=4,  H=7.

Q: Find approximately the volume of wood required to make a cubical box of edge length 8 ft., using…

A: Convert all the measurements into inches. 8 ft=8·12 in= 96 in. We find the volume of wood required…

Q: Find the volume of a cylinder with radius 2 in. and height 7 in. Use 3.14 for pi and round to the…

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Q: 1. Calculate the volume of a cylinder whose area of the base is 30 cm and the height is 6 cm. 2.…

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Q: What is the surface area of the cylinder with height 2 mi and radius 6 mi? Round your answer to the…

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Q: In a water treatment plant, a civil engineer must fabricate a settler with a regular cone shape V=…

A: Given,           In a water treatment plant, a civil engineer must fabricate a settler with a…

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: A gasoline tanker truck has a cylindrical tank that is 35 feet long and has a radius of 6 feet. What…

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Q: Find the surface area of the rectangular solid with with length 1 = 8.4 in, width w = 3.7 in, and…

A: To find the surface area of given rectangular solid.

Q: The volume of a spherical balloon with radius 4.2 cm is about 310 cm3. Estimate the volume of a…

A: Formula to find the volume of the sphere helps to find the required volume of the spherical volume.…

Q: 32) What is the volume of an oblique cone that has a radius of 6 centimeters and a height of 19…

A: To find- What is the volume of an oblique cone that has a radius of 6 centimeters and a height of 19…

Q: The volume of water is 25.2cm cubed. After a solid sphere is immersed into it,the measuring cylinder…

A: according to questionvolume of sphere=volme of cylinder-volume of water43πr3=29.4-25.2where r is the…

Q: What is the surface area of the cylinder with height 3 yd and radius 6 yd? Round your answer to the…

A: Given :- Height of Cylinder = 3yd Radius of Cylinder = 6yd   To find :- Surface Area of Cylinder.

Q: A margarine tub has the shape of the frustrum of a cone. With the lower base having diameter length…

A: Volume of frustrum of the cone is, V=13πR2H-r2h       ...(1)

Q: The surface area of a rectangular prism is  850 m2. Find the volume if the length is 10 and the…

A: Given that the surface area of a rectangular prism is 850 m2 and the length is 10 m, width is 11…

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: Given a right circular cone of radius 3 cm and height 5 cm, find the following: Lateral area Total…

A: given: A right circular cone of radius 3 cm and height 5 cm. we have to find: 1) lateral area. 2)…

Q: What is the surface area of the cylinder with height 6 ft and ra- answer to the nearest thousandth.…

A: Solution of the problem as follows

Q: One sphere has a diameter of 10 cm, and another sphere has a diameter of 4 cm. What is the…

A: Volume of sphere= (4/3)πr³  Where r is the radius of sphere  Given diameter of ist Sphere, D1 = 10…

Q: An Ice cream cone is 10 centimeters deep and has a diameter of 8 centimeters. A scoop of ice cream…

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Q: What is the surface area of the cylinder with height 4 m and radius 2 m? answer to the nearest…

A: Given Height of the cylinder=4m Radius of the cylinder=2m

Q: A wheel with a diameter of 25 in. is in a puddle of water 8.1 in. deep. What is the width of the…

A: Radius of the Wheel = 25/2 = 12.5. In.

Q: Would you find the surface area or volume to know how much wrapping paper is needed to cover a box?

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Q: A scoop of ice cream with diameter 6 cm is placed in an ice-cream cone with diameter 5 cm and height…

A: Given, A scoop of ice cream with a diameter of 6cm Ice cream cone with diameter 5 cm and height…

Q: Find the volume of a sphere with radius 5 cm is

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Q: A cylinder can hold 450 cubic inches of water. How many cubic inches of water can a cone that has a…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Given the cone below, how much bigger would the volume of a cylinder need to be for it to be of…

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Q: Two similar cones have volumes 12π and 96π. If the lateral area of the smaller cone is 15π, what is…

A: since the cones are similar so l1l2 = r1r2 the the volumes are v1=12π unit3 , v2=96π unit3 so curved…

Q: Find the volume of the cone given its radius is 4 cm and its slant height of 6 cm. If necessary,…

A: Given query is to find the volume of the cone.

Q: Consider the following cube with a side length equal to 5 cm. Find the total surface area. S em…

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Q: For a rectangular solid with length 22 centimeters, height 25 centimeters, and width 20 centimeters,…

A: (a) It is given that the length of the rectangular solid is 22cm, height is 25 cm and width is 20…

Q: A cylinder has a base diameter of 10m and a height of 14m. What is its volume in cubic m, to the…

A: A cylinder has a base diameter of 10m and a height of 14m. Our Aim is to tell the volume

Q: A right circular cone has a volume of 128π/3 cm3 and an altitude of 8 cm. The lateral area is

A: Given that

Q: A cocktail glass with a bowl shaped like a hemisphere with diameter 8 cm contains a spherical cherry…

A: Given that, x2+(y-4)2=42 x2=16-(y-4)2 x=16-y-42 From the washer method,…

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.