A bowl has a hemispherical shape with a diameter of 60 in. A heavy ball whose diameter is 20 in is placed in the bowl and water is poured into the bowl up toh inches deep. Use the concept of definite integrals to find the volume of the water in the bowl.

Q: A cylindrical gasoline tank with radius 4 feet and length 25 feet is buried on its side underneath a…

A: Volume of a cylinder is given by V = πr2h, where V is the Volume of cylinder , r is the radius of…

Q: Water sits in a hemispherical bowl of radius 7 cm. The depth of the water is 2 cm (i.e., from the…

A:

Q: The lateral area L of any prism whose altitude measures h and whose base has perimeter P is given by…

A:

Q: The volume of the sphere with the radius 5 is cubic units O 125 125 3 O 500 3 O 250 250 3 O 750 3

A: Volume of sphere

Q: A fuel tank has the shape of an upright cylinder with radius r = 2 ft. and height 8 ft. Assume the…

A: Solution:

Q: Find the volume of sphere by using Multiple Integrals

A: We will find the volume of a sphere generated by revolving the semicircle y = √ (R 2 - x 2) around…

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

A: Finding the area of triangle

Q: How many liters of paint are needed to paint the exterior wall of an astronomical observatory…

A:

Q: A tank as shown below has the shape of a right triangular prism with height 10 ft. It is filled to a…

A: Consider the given information.

Q: Find the area between the curve y = 2x(x+2) and the line y = -2x. Find the area between the curve y²…

A: Since you have posted multiple questions we could answer first one as per the policy.Please repost…

Q: A tank in the shape shown below is filled with water. Set up the integral that would calculate the…

A: To determine the amount of work needed to pump the water.

Q: Please use a double integral to derive a formula for the area of a trapezoid with parallel sides of…

A:

Q: Each integral represents the volume of a solid.Describe the solid.

A: To evaluate: ∫042π6-y4y-y2dy Solution: Evaluating the integral,…

Q: A chunk of Platinum is mixed with other metals to make a piece of art. Roughly, 43% of a 60-gram…

A:

Q: By integrating surface element of a sphere, find area of a strip on the surface of a sphere from 8=…

A: To Find: Area of a strip on the surface of a sphere from θ=45° to θ=135°, where Radius of the sphere…

Q: What is the difference in volume between a sphere with radius rr and a sphere with radius 0.3r0.3r?

A: Given query is to find the difference in the volume.

Q: Find the integrals. a) R= %3D R.

A: First we have to plot region of integration.

Q: What is the amount of 3 dimensional space occupied by milk tin with radius 5cm and height 7cm. [take…

A:

Q: Find the surface area of the figure when s = 2 m and / = 7 m. |m² S

A: We have to find the surface area .

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.