Tutors Answer Your Questions about Surface-area (FREE)
Question 1055210: Find the value of x, correct to 1 decimal place, in this diagram if the area is to be 20 square units.
Diagram: http://imgur.com/a/d2Kdt
Here is my working, the answer I got is different from the answer in the book which is 1.6
x(x+10)+ 1/2(pi x^2) =20
x^2 +10x + 1/2(pi x^2)= 20
2x^2+20x+pi x^2=40
(2+pi)x^2+20x-40=0
since x>0, x=1.455
Click here to see answer by josgarithmetic(39617)  |
Question 1055525: If you have a can of frosting measuring 3" in diameter and 4" high, to use on a baking dish with a volume of 256", would you be able to cover the top with 1/2" of frosting? If not how many cans would you need?
Click here to see answer by Fombitz(32388)  |
Question 1055802: About 20% of the southern Hemisphere is land. South Africa takes up about 5% of the land in the southern Hemisphere. A piece of space junk is falling to Earth such that it would hit anywhere randomly
Calculate the probability that it would hit:
A) the southern Hemisphere
B) land in the Southern Hemisphere
C) sea in the Southern Hemisphere
D) South Africa
Click here to see answer by Boreal(15235)  |
Question 1055913: A net of a solid shape. The two circular faces are congruent and each has a diameter of 7cm nd a height of 25cm
A) Which solid shape can be formed from this net?
B) Calculate :1) The total surface area
2)The volume of this solid shape formed
C) If this solid shape is hollowed but left closed on one end of the circular faces which of these aspects between surface are and volume will be affected?
Calculate the new value of the affected aspect in ml if it is volume and in m*2(m squared) if it is area
Click here to see answer by ewatrrr(24785)  |
Question 1056770: Janelle and Sandra are planting various colors of flowers in a circular shape on the front lawn of their university to display the school's new logo. The circle has a diameter of 12 feet and the flowers cost $15.00 per square yard. Find the cost of the flowers.
Click here to see answer by stanbon(75887) |
Question 1056766: Dawn printed off several 3 inch by 5 inch pictures from her digital camera onto a sheet of glossy photo paper measuring 24 by 25 inches. how many can she paste onto a 600 square inch poster board if the images are aligned side by side so no white space is left?
Click here to see answer by jorel555(1290) |
Question 1057369: A circular swimming pool has diameter 50 feet and is centered in a fenced-in square region measuring 80 feet by 80 feet. A concrete sidewalk 5 feet wide encircles the pool, and the rest of the region is grass, as shown in the figure below. (I added a link to the picture used in the problem. https://www.dropbox.com/s/jxc7syj05xb0lrh/8-1-023.gif?dl=0 )
Find the surface area of the water
Find the area of the concrete sidewalk
Find the area of the grass
Some of these I believe I can solve (sidewalk and grass area), but the surface area is something I have not done in about 15 years, and I am very rusty with it.
Click here to see answer by Alan3354(69443)  |
Question 1057369: A circular swimming pool has diameter 50 feet and is centered in a fenced-in square region measuring 80 feet by 80 feet. A concrete sidewalk 5 feet wide encircles the pool, and the rest of the region is grass, as shown in the figure below. (I added a link to the picture used in the problem. https://www.dropbox.com/s/jxc7syj05xb0lrh/8-1-023.gif?dl=0 )
Find the surface area of the water
Find the area of the concrete sidewalk
Find the area of the grass
Some of these I believe I can solve (sidewalk and grass area), but the surface area is something I have not done in about 15 years, and I am very rusty with it.
Click here to see answer by solve_for_x(190) |
Question 1057394: The perimeter of a square window is 18 feet 4 inches.
(a) Find the area of the window in square inches.
(b) Find the area of the window in square feet. (Round your answer to one decimal place.)
I cannot understand how to convert the ft and inches part into plain inches I can use to solve the problem in each section it is asking for. Someone told me I needed to divide the 4ft into thirds, but I don't think I am doing it correctly.
Click here to see answer by Fombitz(32388) |
Question 1057484: An oval athletic field is the union of a square and semicircles at opposite ends, as shown in the figure below (http://www.webassign.net/jmodd7/8-1-034.gif). If the total area of the field is 1,300 square yards, find the dimensions of the square.
So I know that we have to separate the shapes, and assemble the circles. I let S equal the sides of the square, and s also represents the radius, which is half the diameter.
We are given the area, which is 1300. What I don't understand is how to incorporate this into the problem to get the answer. I was provided with a formula, but am not sure how to solve for x.
A=s^2+3.14*(s/2)^2+s^2+(1+3.14/4)
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1057924: Please help me.
graduated cylinder, pictured, is used to measure solutions in a laboratory. It is open at the top and closed at the bottom.
If a graduated cylinder has a height (h) that is 4 cm more than its radius (r) and a surface area of 16p cm2, use the equations below to calculate the diameter of the graduated cylinder. Give exact answer in fraction form.
Area of the side of a cylinder = 2 pi r h
Area of the top or bottom of a cylinder = pi r squared
Click here to see answer by Alan3354(69443) |
Question 1057974: . Jake found an old toy pyramid while he was cleaning out his closet. To help him finish cleaning out his closet, he placed all his old toys in the pyramid. If the pyramid had a height of 12 inches and a side base of 10 inches, how much could the pyramid hold?
Click here to see answer by ikleyn(52781)  |
Question 1058156: cleopatra's needle consists of a frustum of a pyramid surmounted by a pyramid. the frustum has square bases. the upper base measures 4 ft.on a side and lower base measures 7.5 ft. on a side: the altitude of the frustum is 61 ft. find the weight of the frustum, if it is made of stone which weighs 170 lb. per cu. ft.
Click here to see answer by solve_for_x(190) |
Question 1058162: How many cubic yards of earth must be removed in digging an artificial lake 15 feet deep,if the level bottom is a rectangle 180 feet by 20 feet and the top is a rectangle 216 feet by 24 feet?pls show drawing if possible thank you
Click here to see answer by solve_for_x(190) |
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