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

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

A:

Q: Find the exact volume of a sphere whose length of radius is 1.5 in.

A: Formula v=43πr3

Q: Find the radius of the oblique cylinder given that the cylinder has a volume of 517 and a height of…

A:

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

A:

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: A cone with the same base but a height of 3 times taller than a cylinder with a height of 4 and a…

A: ANSWER :

Q: Draw two cones of different heights but the same volume. Label the dimensions of each solid

A: The volume V of a cone with radius r and height h is given by the formula:V=πr2h3

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

A: Given, a sphere of radius 33.1 units.

Q: A composite figures form by placing half-sphere atop a cylinder. The half-sphere and the cylinder…

A: Solving the following problem

Q: 3 3

A: Given figure, Base= 3 and Height =4

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: If a cone has a radius of 5 and a height of 12. What is it’s volume ?

A: Given radius of cone(r)=5Height of cone (h)=12We know that volume of cone is πr2h3

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.