A hemispherical dome of radius 40 feet is to be given 3 coats of paint, each of which is 1/100 inch thick. Use linear approximation to estimate the volume of paint needed for the job.( Hint: Approximate the change in the volume of a hemisphere when the radius increases from 40 feet to 40 feet 3/100 inches. Don't forget to make sure this increased radius is in terms of feet. )It will take approximately   cubic feet of paint to apply all 3 coats of paint.

Q: The figure shows A 20 foot tall evergreen tree with a 1 foot wide trunk. the lowest branches are 3…

A: The above figure can be modelled with help of two solid figure joining together. In the the first…

Q: An open box with a volume of 108 cubic feet and a square base is to be made from sheet metal. Find…

A: Given: Volume of  square base open box=108

Q: An icicle is gradually increasing in length, whilemaintaining a cone shape with a length 15 times…

A: It is given that an icicle is gradually increasing in length, while maintaining a cone shape with a…

Q: Given an 8-inch wafer costing $2200 each, with Y, 80%, Y = 98% and die area of 4 x 4 mm², estimate…

A: Solution :-

Q: Sanford, a company that produces pencils, needs to know how much yellow paint to order for their…

A: Lateral surface area of a hexagonal prism is given by- A=6ah where a is face edge while h is height…

Q: Determine the volume of a frustum of a cone if the diameter of the ends are 6 cm and 17 cm and its…

A: Determine the volume of a frustum of a cone if the diameter of the ends are 6 cm and 17 cm and its…

Q: An artificial wetland has been created by building an earth dam across a small creek, between the…

A: I am attaching image so that you understand each and every step.

Q: The Volume (V) of a cone varies jointly as its height (h) and the square of its radius (r). Find the…

A:

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: A sphere is round in shape and symmetrical. The sphere is three dimensional solid. The volume of a…

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

A:

Q: Approximate graphically the radius and height of a cylindrical container with volume 80cubic inches…

A: Given, Volume, V=80 cubic inchesLateral surface area, A=55 square inches The formula for the volume…

Q: The volume V of a sphere of radius r is given by . Approximate the change in the volume of a sphere…

A:

Q: A hiker makes an extremely rough estimate for the dimensions of a square-shaped park.  The length is…

A: Given: Length is estimated as 10 km ± 4 km and the width as 10 km ± 3 km.   Thus, maximum length…

Q: List two more situations in life where surface area might be useful.

A: