The area is 10 just use a area calculator!
Answer:
= 18 cubic inches
Step-by-step explanation:
The volume of a cone is given by the formula;
V = 1/3 × base area × height
While that of cylinder is given by the formula;
Volume = Base area × height
Since we need the cylinder to fit exactly inside the cone, then it means that their bases are the same and heights are the same.
Therefore;
The cone has three times less volume compared to the cylinder.
Thus;
Volume of the cylinder = Volume of cone × 3
= 6 In³ × 3
<u>= 18 cubic inches</u>
Answer:

Step-by-step explanation:
The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,

Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.
In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.

Substitute,

Inverse operations,

Simplify,

Answer:
length: 200
width: 65
Step-by-step explanation:
length: 3w + 5
width: w
perimeter = 2L + 2W
530 = 2(3w + 5) + 2w
530 = 6w + 10 + 2w
530 = 8w + 10
520 = 8w
w = 65
length: 3w + 5 = 3(65) + 5 = 200
width: w = 65
Answer: 4.2
Step-by-step explanation:
when you square root 18 you get 4.242. When rounded to the nearest tenth you get 4.2 since 4 is not nor is 5 and exceeds it.