A grain silo is formed by attaching a hemisphere to the top of a right circular cylinder. If the cylinder is 16feet high and the volume of the silo is 600πcubic feet, find the common radius of the cylinder and the hemisphere.

A grain silo is formed by attaching a hemisphere to the top of a right circular cylinder. If the cylinder is 16feet high and the volume of the silo is 600πcubic feet, find the common radius of the cylinder and the hemisphere.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 9E: If the exact volume of a right circular cylinder is 200cm3 and its altitude measures 8 cm, what is...

See similar textbooks

Related questions

Q: 11 in. 7.5 in. 15 in.

A: The trapezoid is a two dimensional shape. A trapezoid is a quadrilateral , which has at least one…

Q: If the area of a trapezoid is 164 ft? and the bases are 20 ft and 12.8 ft, what is the height of the…

A: We know the area of trapezium is 12sum of parallel sides ×(Distance between them)

Q: What is the circumference of the circle if a chord 8cm long is 3cm away from the center of the…

A: Given: A chord 8 cm long is 3 cm away from the center of the circle. To Find: The circumference of…

Q: A punch bowl is in the shape of a hemisphere with a radius of 7 inches. The cup part of the ladle is…

A: Given that, Shape of bowl is hemisphere and the radius of the bowl is, r1 = 7 inches Shape of ladle…

Q: Find the area of a regular pentagon with an apothem of 5 inches. Round to the nearest tenth

Q: Find the area (in square inches) of an equiangular triangle with a radius of length 6 in.

A: By using equiangular triangle area formula.

Q: If the sector formed by a central angle of 30° has an area of n/3 square centimeters, find the…

A: Given area of a sector formed by a central angle of 30° is π3 cm2. We know that area of sector…

Q: 3. What is the exact circumference of a circle that has a radius of 5 cm?

A: Given Radius of the circle r = 5cm Circumference of any circle C = 2 * π * r

Q: A temple features 46 columns, which are roughly cylindrical. The circumference of each column at the…

A: Since, the columns are cylindrical, hence, the base of column is circle. Circumference of a circle…

Q: The approximate area of a triangle with sides of lengths 3 in., 5 in., and 6 in. is 7.48 in². What…

A: given: the approximate area of a triangle with sides of lengths 3in. , 5in. ,and 6 in. is 7.48 in.2…

Q: A Circle has a diameter of 17 cm. What is the exact area of the circle? *

A: The diameter of the circle is: 17 cm. Therefore the radius of the circle is: r=172 cm

Q: A triangle with sides of lengths 3 in., 4 in., and 5 in. has an area of 6 in². What is the length of…

A: given: A triangle with sides of lengths 3in. ,4in. , and 5 in. has an area of 6 in.2 we have to…

Q: The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth,…

A: We will find the smallest possible length of one of the 2 congruent sides as following.

Q: .) A regular pentagon has a radius of 8 ft area?

A: The radius of a regular pentagon r= 8 ft.

Q: Aglass coffee tabletop is essentially square but has rounded circular corners, as shown. Find its…

Q: A circle can be inscribed in an equilateral triangle, each of whose sides has length 10 cm. Find the…

A: Area of the circle inscribed in an equilateral triangle is given by the formula - A = πa212where,a =…

Q: 7 in. 60°

Q: Find the volume of this rectangular pyramid. Be sure to include the correct unit in your answer. If…

A: Explanation and solutions is given below....

Q: A regular pentagon is inscribed in a circle whose radius is 18cm. Find the perimeter of the…

A: Perimeter = sum of all sides of pentagon

Q: An isosceles triangle has congruent sides of 20 cm. The base is 10 cm. What is area of the triangle?

A: Then using Pythagorean theorem we find the height of the triangle . Pythagorean theorem is given…

Q: Suppose a regular octagon is inscribed in a circle, with a radius of 18 centimeters. Find the…

Q: A circle can be inscribed in an equilateral triangle, each of whose sides has length 10 cm. Find the…

A: Given: Length of side of an equilateral triangle inscribed is 10 cm. To find the area of the…

Q: Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 1,200 cm3 of…

A: In this question the volume of spherical water bubble is given and we have to find the diameter of…

Q: Determine the area of rhombus ABDC if its perimeter is 100 cm, and the length of RB is 14 cm.

A: In this question we have to find the area of rhombus.

Q: The length of the latus rectum is called __________ the diameter.

A: The line segment that passes through the focus and is parallel to the directrix is called the latus…

Q: The radius of the base of a right circular cone measures 5 in. If the altitude of the cone measures…

A: Given that the radius of the base of a right circular cone measures 5 in. The altitude of the cone…

Q: An isosceles right triangle has a hypotenuse of length 10 cm. How long is each leg?

A: In a right triangle, the relation between legs a and b and hypotenuse h is states as follows:…

Q: A piece of wood is in the form of an isosceles triangle whose base angles measure 40°. If the length…

Q: The side of a regular pentagon is 25 cm. If the radius of its inscribed circle is 15 cm, find the…

A: Let's find.

Q: If all sides of a square are 15 cm, What is the perimeter of the square?

A: If all sides of a square are 15 cm, we have to find the perimeter of the square

Q: A circular garden has a radius of 21 m. The owner wants to put a plastic edge around the garden, so…

A: To find the circumference of garden.

Q: Determine the area of the segment of a circle if the length of the chord is 15 inches and located 5…

Q: The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth,…

A: We are asked to find the missing sides of the triangle.

Q: Find the missing dimension of the circle. Round to the hearest Diameter 24 in. %3D in.

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: A 20 feet wire is cut into two pieces. To form an isosceles triangle and a circle, find the…

A: Given: The length of the wire is 20 ft. The wire is cut into two pieces. Let the length of the first…

Q: A circle is inscribed in a triangle having sides of lengths 6 in., 8 in., and 10 in. If the length…

A: Given that, the lengths of sides of a triangle are 6 in., 8 in. and 10 in. Let the sides of the…

Q: Determine the area of rhombus ABDC if its perimeter is 100 cm, and the length of AD is 14 cm.

Q: Use the Babylonian's formula to calculate the circumferenice of a circle with diameter of 6 units.

A: According to Babylonian's formula A = 112C2 ; where A is the area and C is the circumference So…

Q: In a two-pulley system, the centers of the pulleys are 20 in. apart. If the radius of each pulley…

A: Given that the centers of the pulleys are 20 inch apart.Also, given that the radius of each pulley…

Q: An isosceles trapezoid has base angles of 45 degrees and a perimeter L (Figure 19a). What is the…

Q: If a regular hexagon has a side of 5 cm, then determine: a) measure of the radius of the…

A: Given side of regular hexagon is s=5 cm (a) Since radius and side of the regular hexagon is equal.…

Q: A ring-shaped reglon Is shown below. Its Inner radius Is 18 m, and its outer radlus Is 22 m. 18 m 22…

A: Given Radius of inner circle=18 m Radius of outer circle=22 m

Q: Is it possible to construct a triangle with side lengths 7 ft, 12 ft, and 18 ft. * Yes O No Geometry

A: We have given 3 sides of the triangle We have to tell the possibility of construction of the…

Q: The area of a circle is 225TTTT in?. What is its radius?

A: Given area of the circle 225π in2 To find the radius of the circle

Q: Find the area of an equilateral triangle with an apothem having a length of 4 feet. Round to the…

A: The area of equilateral triangle with an apothem having a length of 4 feet is 83.1 feet2 The answer…

Q: Find the surface area of a square pyramid with side length 5 ft and slant height 6 ft. 6 t 5 ft 5 ft

A: Given: Base side length (a)= 5 ft and slant height (h)= 6 ftsurface area of the square pyramid =…

Q: A hexagon is inscribed in a circle. If the difference between the area of the circle and the area of…

A: The side of the hexagon and the radius of the circle will be the same, consider a. The difference in…

Q: A circle is inscribed in a square. If the perimeter of the square is 32 cm, find the circumference…

A: Answer is given below

Q: Find the surface area of a square pyramid with side length 6 ft and slant height 7 ft. 7th 6 ft

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A circle is inscribed in a triangle having sides of lengths 5 in., 12 in., and 13 in. If the length of the radius of inscribed circle is 2 in., find the area of the triangle.
The approximate area of a triangle with sides of lengths 3 in., 5 in., and 6 in. is 7.48 in2. What is the approximate length of the radius of the inscribed circle?
A triangle has a base of 8.4 cm and a height of 12.5 cm. What is the area of the triangle?
A triangle with sides of lengths 3 in., 4 in., and 5 in., has an area of 6 in2. What is the length of the radius of the inscribed circle?
The perimeter of an isosceles triangle is 32cm. If the length of the altitude drawn to the base is 8cm, how long is each leg of the isosceles triangle?_
Circle O has a diameter of length 20cm. Chord AB has length 12cm, and chord CD has length 10cm. How much closer is AB than CD to point O?
Find the area of an equiangular triangle with a a perimeter of 24.6 cm. b radius of length 4 in.
Find the lengths of the apothem and the radius of a square whose sides have length 10 in.
In excavating for a new house, a contractor digs a hole in the shape of a right rectangular prism. The dimensions of the hole are 54 ft long by 36 ft wide by 9 ft deep. How many cubic yards of dirt were removed?
A company logo on the side of a building shows an isosceles triangle with an inscribed circle. If the sides of triangle measure 10 ft, 13 ft and 13 ft, find the length of the radius of the inscribed circle.
Does a rectangle have a an incenter? b a circumcenter?
If the exact volume of a right circular cylinder is 200cm3 and its altitude measures 8 cm, what is the measure of the radius of the circular base?