A cylinder has a height of 10 and a surface area of 78π. Find the radius and volume of this cylinder.

Q: Find the radius of the sphere with the given property. The number of square meters of surface area…

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Q: A monoply box that has twice the the awichth me twice the length with a volume of 10000 cm³ Find the…

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Q: A hemisphere has a radius of 12 feet. Find the volume and the dimensions of the cone with the…

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Q: Choose two figures which are topologically equivalent to each other L 20

A: See answer below

Q: Find the exact volume of the largest cube that would fit inside a hollow cylinder. The cylinder has…

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Q: 2 Find the radius of a sphere whose vole is 1793 cm

A: The given volume of a sphere is V=17923 cm3. The objective is to find its radius. As the volume of a…

Q: Suppose the volume of a given sphere is 24429cm³. Find the size of area of the spherical triangle…

A: There appears to be two questions. The first question carries a figure and some information, but no…

Q: Find the area of ABC if <Z= 52 degrees, x = 16, and y= 25

A: Finding the area of triangle

Q: Find the surface area of a sphere with a radius of 33.1

A: Given, a sphere of radius 33.1 units.

Q: The area on the first quadrant of the circle x2 + y? = 36 is revolved about the line y + 10 = 0.…

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Q: Find the volume (in terms of T) of a sphere if its surface area is 100T ft2.

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Q: Find the surface area and volume of the given figure below.

A: We use the formula of volume of cuboid = l×b×h and volume of cylinder = πr2h .

Q: Identify the given radius if the center lies at the origin. a. x2 + y2 = 15, 129 b. x2 + y2 = 121 с.…

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Q: A ring is generated by rotating the quarter-circular area about the x-axis. determine its volume if…

A: To find the volume of the solid generated by rotating the quarter-circular area about the x-axis.

Q: A. A Cube with a surface area of 150 cm²... Linear Dimensions = Volume =

A: Given that a cube with a surface area of 150 cm3

Q: Find the area of the trapezoid in which the sum of its two bases is 0.14m and its altitude is 0.07m.

A: Using area of trapezoid formula.

Q: If S represents the surface area of the spherical globe, find its diameter. O Vis 4x O VSA

A: We know that , formula of surface area of spherical globe is :  S = 4 π r2

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: Use calculus to derive the volume of the unit sphere.

A: Use calculus to derive the volume of the unit sphere.

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.