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Please see below. . Let's look at the following figure and define parameters: The apex of the cone is on the origin. OC=h is the vertical height of the cone and lies on the x-axis. OB=l is the lateral (slant) height of the cone. CB=r is the radius of the base and is parallel to the y-axis. In between the the blue vertical lines: dx=dh a small increment in the vertical height of the cone. dl= a ...
The surface area of the cube: We have 6 faces each having a surface area of: 8*8=64 "cm"^2 Total surface area: 6*64=384"cm"^2 The surface area of a cone is given by: bb(A=pir(r+sqrt(h^2+r^2))) h is the height of the cone.
Total surface area of the cone is 703.72(2dp) Radius of the cone is r= 14/2=7 inches ; Height and slant ...
The total surface area of a cone is the sum of the area of the base and the lateral area: #SA=pir^2+pirs#
282.857\ cm^2 total surface area of a cone of height h=12cm and base radius r=5cm is given as =\text{area ...
358 cm^2 Solution: Subtract the top cut outer area from the original to derive the bottom section outer area. Calculate the new circular (cut) section area and the base area. Combine the three values to the final area of the bottom segment. The surface area of the cone equals the area of the circle plus the area of the cone and the final formula is given by: SA = (pi * r^2) + (pi * r * l ...
The surface area of the cone is #75pi# square inches. What is the slant height and the radius of the cone?
27.1296 cm^2 The formula for the surface area of a cone is Sa = pirl + pir^2 Sa = surface area r = radius l = slant height From the given information, we already have some of the numbers. We know that r = 1.8 cm pi = 3.14 h = 2.4 cm However, we do not know the slant height of the triangle. Using this picture below as a guide, you can fill in r and h Using the Pythagorean Theorem (a^2 + b^2 = c ...
The surface area is 282.78 cm^2 The perpendicular height, h, and the radius, r, of the base of the cone form the legs of a right triangle with the slant height, l, as the hypotenuse of that right triangle. So we can use the Pythagorean Theorem to determine the radius of the base of the cone in terms of the perpendicular height and the slant height. Equation I r^2=l^2-h^2 Equation II r=sqrt(l^2 ...
color(blue)(77.92 "cm"^2) 2 d.p. If we start with a cone of height 12cm and cut the top off, the height of the top section will be: 12-7=5cm This has been reduced by a factor of 5/12 The radius of the top section (which is still a cone ) will also be reduced by the same factor: 5/12*2=5/6 We will call these: r=5/6 and h=5 The formula for the lateral surface area of a cone is given as: A ...