Would really appreciate the help!:(
1 answer:
You might be interested in
Answer:
1. The amount of ice needed for the sculpture is 18 m³
2. The amount of fabric needed to manufacture the umbrella is 0.757 m²
3. The height of the cone is 37.5 cm
4. The largest possible storage area which is obtained by attaching the storage area to the back of the building is 87.11 m²
Step-by-step explanation:
1. The volume, V, of a rectangular pyramid =
Where:
B = Base area = Length, L × Width, W
h = Height of the pyramid = 3.6 m
L = 5 m
W = 3 m
The volume = 1/3 × 5 × 3 × 3.6 = 18 m³
The amount of ice needed for the sculpture is 18 m³
2) The surface area of a cone = π·r·s
s = Slant height
r = Radius of the cone's base = 0.4 m
h = The height of the cone = 0.45m
s = √(0.4² + 0.45²) = (√145)/20
The surface area of the cone = π × 0.4 × (√145)/20 = 0.757 m²
The amount of fabric needed to manufacture the umbrella is 0.757 m²
3) The volume, V of the cone = 150 cm³
The base area, , of the cone = 12 cm²
The height of the cone = h
We note that the volume of a cone =
Therefore;
4·h = 150
h = 150/4 = 37.5 cm
The height of the cone = 37.5 cm
4) The storage area at the back corner with four sides = 100 m²
The storage area at the back of the building with three sides = 98 m²
Given that the available riling = 28 m, we have;
For maximum area the four sides should be equal, hence dimension of each side = 28/4 = 7
The area of storage space that can be fenced on four sides at the back corner = 7 × 7 = 49 m²
At the back of the building only three sides need fencing, we therefore have;
The side length = 28/3 =
The area fenced = = 87.11 m²
Therefore, the largest possible storage area, 87.11 m², is obtained by attaching the storage area to the back of the building.
we have to find sum of even integer between 30 and 70
first term is 32
......
common difference is
firstly , we will find n
we can use formula
now, we can find sum
.............Answer