Find the volume of a cone with a radius of 10 mm and a height of 6 mm.
628 mm3
600 mm3
1,884 mm3
1,254 mm3***
Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft. Use 3.14 for π and round to the nearest whole number.
439 ft2
324 ft2
572 ft2
286 ft2***
(1/3) pi r^2 h = (1/3)(3.14) (100)(6)
=628 mm^3
pi r L = 3.14 * 7 * 13 = 286
Thank u soooo much,Damon! :D
You are welcome.
To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where V represents the volume, π represents pi, r represents the radius, and h represents the height.
For the first question, the radius is given as 10 mm and the height is given as 6 mm. Plugging in these values into the formula, we have V = (1/3)π(10^2)(6) = (1/3)π(100)(6) = (1/3)(3.14)(100)(6) = 3.14 * 33.33 = 104.67.
Therefore, the volume of the cone is approximately 104.67 mm^3. None of the given options match this result, so we can conclude that the options in the question are incorrect.
Now let's move on to the second question. To find the lateral area of a cone, you can use the formula LA = πrl, where LA represents the lateral area, π represents pi, r represents the radius, and l represents the slant height.
In this case, the radius is given as 7 ft and the slant height is given as 13 ft. Plugging in these values into the formula, we have LA = 3.14 * 7 * 13 = 286.06.
Since we need to round to the nearest whole number, the lateral area of the cone is approximately 286 ft^2. The option that matches this result is 286 ft^2, so that is the correct answer.