Answer:
256π
Step-by-step explanation:
Given that:
The height of the cylinder: 12 cm
The radius of the sphere : 10
Let r is the radius of the cylinder, use Pytagon
10² = r² + 6²
<=> r² = 10² - 6² = 64
<=> r = 8
Hence, the lateral area of the cylinder
L= 2πrh
= 2π8*16
= 256π
The answer is : square root of 14 is between 3 and 4
√14= 3.74
Answer:
-8x-6 or -8x+-6.
Step-by-step explanation:
The answer is <span>$494.55</span>
Let's first imagine a circle and calculate its area and then reduce it in half for the area of a semi-circle. Since this opening is above <span>a 30-inch wide door, the circle will have a diameter of 30 inches.
The area of the circle (A) is:
A = </span>π · r²
where:
π = 3.14
r - radius: r = diameter ÷ 2 = 30 ÷ 2 = 15 inches
So, the area of the circle is:
A = π · r² = 3.14 · 15² = 706.5 inches²
The area of the semicircle is half of the area of the circle:
A1 = A ÷ 2 = 706.5 ÷ 2 = 353.25 inches²
Since the stained glass window costs $1.40 <span>per square inch, for 353.25 square inches it will cost $494.55:
353.25 square inches * 1.40 $/square inch = $494.55</span>
Answer:
<u>Use the formula for area of the triangle:</u>
- A = 1/2bh, where b- base, h- height or altitude
<h3>Part A</h3>
<u>The triangle i has:</u>
<u>The area is:</u>
<h3>Part B</h3>
Triangles have same area as they are congruent.
<u>Total area is:</u>