Find the length of the height of the cone. d=10 cm and the side is 13cm
To find the height of the cone, we can use the Pythagorean theorem.
The diameter of the base of the cone is given as 10 cm. We can use this information to find the radius of the base, r. The radius is half the diameter, so r = 10/2 = 5 cm.
We are also given that the slant height of the cone, s, is 13 cm. The slant height is the hypotenuse of a right triangle formed by the height, the radius, and the slant height.
Using the Pythagorean theorem, we can write:
s^2 = r^2 + h^2
13^2 = 5^2 + h^2
169 = 25 + h^2
h^2 = 144
h = √144
h = 12 cm
Therefore, the height of the cone is 12 cm.
Given l=30 in. , w=20 in. , h=18 in. , and x=36.1 in. , find the length of d . Round the answer to the nearest tenth.
(1 point)
To find the length of d, we can use the Pythagorean theorem.
The given dimensions are as follows:
Length (l) = 30 in.
Width (w) = 20 in.
Height (h) = 18 in.
x = 36.1 in.
We can consider the triangle formed by l, w, and d. The length l is one leg of the right triangle, the width w is the other leg, and d is the hypotenuse.
Using the Pythagorean theorem, we can write:
d^2 = l^2 + w^2
d^2 = (30 in.)^2 + (20 in.)^2
d^2 = 900 in^2 + 400 in^2
d^2 = 1300 in^2
To find the length of d, we take the square root of both sides of the equation:
d = √1300 in
d ≈ 36.1 in
Therefore, the length of d is approximately 36.1 inches.
nope
Apologies for the confusion. Let's try again.
The given dimensions are:
Length (l) = 30 in.
Width (w) = 20 in.
Height (h) = 18 in.
x = 36.1 in.
Based on the given dimensions, it seems that d is not provided. Therefore, we cannot find the length of d using the given information. If you have any additional information or if there is a specific relationship between d and the other dimensions that we can use, please let me know.
For the square pyramid, the lateral edge length, e , is 25 in., and the slant height, s , is 24 in. Find the height of the pyramid, h . Round the answer to the nearest whole number. Hint: Before finding the length of h , you will first need to find the length of r
.
(1 point)
The height of the square pyramid is
in.
To find the height (h) of the pyramid, we need to first find the length of the apothem (r) using the given information.
The lateral edge length (e) is 25 in., and the slant height (s) is 24 in. The slant height is the hypotenuse of a right triangle formed by the apothem, the lateral edge, and the slant height.
Using the Pythagorean theorem, we can write:
s^2 = r^2 + e^2
24^2 = r^2 + 25^2
576 = r^2 + 625
r^2 = 576 - 625
r^2 = -49
Since we can't take the square root of a negative number, it means there is an error in the question or the given information. Please check the given values again or provide more accurate information.
For the square pyramid, the lateral edge length, e , is 25 in., and the slant height, s , is 24 in. Find the height of the pyramid, h . Round the answer to the nearest whole number.
(1 point)
The height of the square pyramid is
in.
To find the height (h) of the square pyramid, we can use the Pythagorean theorem.
The lateral edge length (e) is given as 25 in., and the slant height (s) is given as 24 in.
We can consider one of the triangular faces of the pyramid, which is a right triangle formed by half the base (e/2), the height (h), and the slant height (s).
Using the Pythagorean theorem, we can write:
s^2 = (e/2)^2 + h^2
24^2 = (25/2)^2 + h^2
576 = 625/4 + h^2
576 - 625/4 = h^2
(2304 - 625)/4 = h^2
(1679)/4 = h^2
h^2 = 419.75
To find the height (h), we take the square root of both sides of the equation:
h = √(419.75)
h ≈ 20.48
Rounding to the nearest whole number, the height (h) of the square pyramid is approximately 20 inches.
For the square pyramid, the lateral edge length, e , is 25 in., and the slant height, s , is 24 in. . Round the answer to the nearest whole number. find the length of r
.