Answer:
302 m³
Step-by-step explanation:
The volume (V) of a cone is calculated using the formula
V =
πr²h
where r is the radius and h the height
Consider the right triangle from the vertex of the cone to the midpoint of the base and the radius
with hypotenuse = 10 cm
h² + 6² = 10²
h² + 36 = 100 ( subtract 36 from both sides )
h² = 64 ( take the square root of both sides )
h =
= 8
Hence
V =
π × 6² × 8
=
π × 36 × 8
=
≈ 302 m³
Answer:

Step-by-step explanation:
<u>Area of trapezoid</u>
Given a trapezoid shape whose parallel sides measure b1 and b2 and whose height (perpendicular to the base) is h, then the area of the trapezoid is given by

The dulcimer has the following dimensions


and height h
Thus

Operating


Is the required polynomial
Answer:
Acute scalene triangle
Step-by-step explanation:
The triangle is acute because all of the angles are less than 90 degrees.
It is scalene because the 3 sides are all different lengths.
Answer: 21 & 18
Step-by-step explanation:
Sum of two numbers is 39
Difference is 3
Let the numbers be x & y
X+y=39........equation 1
X-y=3...........equation 2
X=3+y............equation 3
Substitute equation 3 into equation 1
(3+y)+y=39
3+y+y=39
3+2y=39
2y=39-3
2y=36
Y=36/2
Y=18
Substitute for y in equation 2
X-y=3
X-18=3
X=3+18
X=21
The two numbers are 21 & 18