Answer:
π(6 cm) (10 cm)
Step-by-step explanation:
As we know that
The formula to calculate the lateral surface area of the cone is πrl
where
r denotes the radius i.e. 6 cm
l denotes the length i.e. 10 cm
So based on the above information
The expression that shows the lateral surface area of the cone is
π(6 cm) (10 cm)
Therefore the third option is correct
Hence, the same would be relevant
Answer:
<h2>Area = 14m²</h2>
<u>Step-by-step explanation:</u>
area of rectangle = length × breadth
area of rectangle = 4 × 2
area of rectangle = 8m²
area of Triangle = 1/2 × base × height
area of Triangle = 1/2 × 4 × 3
area of Triangle = 6m²
Total area = 8 + 6
Total area = 14m²
Answer:
744 in³
Step-by-step explanation:
Since you are filling the larger box with both rectangular prism and Styrofoam peanuts, you need to find the overall volume of the larger box and subtract the volume of the glass box to find the amount of space that the Styrofoam peanuts need to take up.
Volume (prism) = Bh, where B = area of the base, h = height
Larger Box: V = 10 x 10 x 15 = 1500 in³
Glass Box: V = 7 x 9 x 12 = 756 in³
1500 - 756 = 744 in³ of Styrofoam peanuts
Given a right angle triangle
The length of the legs are 4 and 7
we will find the hypotenuse using the Pythagorean theorem
So,
![\begin{gathered} h^2=7^2+4^2=49+16=65 \\ h=\sqrt[]{65}\approx8.062 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20h%5E2%3D7%5E2%2B4%5E2%3D49%2B16%3D65%20%5C%5C%20h%3D%5Csqrt%5B%5D%7B65%7D%5Capprox8.062%20%5Cend%7Bgathered%7D)
Rounding to the nearest tenth
So, the answer is the length of the third side = 8.1
