7. What is the surface area of a conical grain storage tank that has a height of 24 meters and a diameter of 16 meters? Round the answer to the nearest square meter. (1 point)
837 square meters
848 square meters
1,991 square meters
1,923 square meters
8. The lateral area of a cone is 574picm2. The radius is 29 cm. What is the slant height to the nearest tenth of a centimeter? (1 point)
9.9 cm
6.3 cm
19.8 cm
12.6 cm
As = 2pir^2 + pi*2r*h.
As = (6.28*8^2) + (3.14*16*24) = 1608 m^2.
What is the answer to thise
idk bob
To find the surface area of a conical grain storage tank, we need to calculate the lateral surface area.
For Question 7, the formula to calculate the lateral surface area of a cone is given as:
Lateral Surface Area = π * r * l,
where π is a mathematical constant approximately equal to 3.14,
r is the radius of the base of the cone, and
l is the slant height of the cone.
Given:
Height of the cone (h) = 24 meters
Diameter of the base (d) = 16 meters
To find the radius (r) of the base, we divide the diameter by 2:
r = d/2 = 16/2 = 8 meters
The slant height (l) can be calculated using the Pythagorean theorem. The slant height, height, and radius form a right-angled triangle. The formula is:
l = √(r^2 + h^2)
Substituting the values:
l = √(8^2 + 24^2)
l = √(64 + 576)
l = √640
l ≈ 25.3 meters (rounded to the nearest tenth of a meter)
Now, we can calculate the lateral surface area:
Lateral Surface Area = π * r * l
Lateral Surface Area = 3.14 * 8 * 25.3
Lateral Surface Area ≈ 628.96 square meters (rounded to the nearest square meter)
The closest answer among the given options is 628 square meters.