Answer:
302 cm²
Step-by-step explanation:
To find the surface area of the figure, find the area of each face and add them together.
<u>The cube</u>
There are 9 faces for the 2 cubes on top of the blue prism. Each face measures as 2cm by 2 cm. The area of one face is A = 2*2 = 4 cm². Since there are 9 faces, the surface area of the cubes is 9*4 = 36 cm².
<u>The rectangular prism</u>
There are 6 faces for the blue prism. Four of the faces measure 11 cm by 5 cm. Two of the faces measure 5cm by 5 cm. Find the area by multiplying each face's measurements.
11*5 = 55
Four faces: 4*55 = 220 cm²
5*5 = 25
Two faces: 2*25 = 50 cm²
All together the surface area of the figure is 36 + 220 + 50 = 306.
However notice that the cube sits on top of the blue prism and covers up a portion of the face. The area it covers is 4 cm². Subtract 306 - 4 = 302.
Answer:3is the answer
Step-by-step explanation:
Answer:
Hydrostatic Force = 14952.35N
Step-by-step explanation:
From the question, we are given;
Diameter of hemispherical plate = 6 ft
Height of submergence = 2ft
Weight density of water = 62.5 lb/ft³
Now, if we assume that the hemispherical plate is residing on x and y axis, then bottom of the plate is on x-axis while the left side of the plate touches the y-axis
Now, the plate is defined by the upper half of the circle as;
(x - 3)² + (y-0)² = 3²
(x - 3)² + y² = 9
Thus, y² = 9 - (x - 3)²
y = √(9 - (x - 3)²)
To solve this, hydro static force on one side of plate is given as;
F = ∫ ρgd•xw(x)δx =
2∫ρgx√(9 - (x - 3)²)δx at boundary of 3 and 0
F = 62.5•9.8•2∫x√(9 - (x - 3)²)δx at boundary of 3 and 0
F = 1225[(27π/4) - 9]
F = 1225 x 12.206 = 14952.35N
Answer:
show more picture pls!
Step-by-step explanation:
Answer:
y=−2x−15
Step-by-step explanation: