the two triangles are congruent
Answer:
w = 4 cm
Step-by-step explanation:
recall that the area of a triangle is given by
A = (1/2) x base length x height
we are given:
A = 10 cm²
base length = 5 cm
height = w
substituting the values above into the equation,
A = (1/2) x base length x height
10 = (1/2) x 5 x w
20 = 5w
w = 20/5
w = 4 cm
Answer:
Surface area = 663π in².
Volume = (676/3)π in² ≈ 225.33 π in²
Explanation:
1) We know the radius and the lateral area.
2) With the radius you can find the areas of the top and the bottom.
For that, you use the formula:
area of the top = area of the bottom = π r²
∴ π (13 in)² = 169π in² (each)
3) Then, the surface area is the sum of the lateral area and the two bases (top and bottom)
surface area = lateral area + bottom area + top area = 325π in² + 2×169π in² = 663π in².
3) You can also find the height of the cylinder.
Use the formula: lateral area = 2π r h
∴ h = lateral area / [2 π r]
⇒ h = 325 π / [ 2π (13) ] = 12.5 in
4) With the height you can find the volume.
Use the formula: V = (4/3) π r³
∴ V = (4/3) π (13 in)³ = (676/3)π in² ≈ 225.33 π in²
Answer:
3V/b = h
Step-by-step explanation:
Step 1: Write equation
V = 1/3bh
Step 2: Multiply both sides by 3
3V = bh
Step 3: Divide both sides by b
3V/b = h
Answer:
32
Step-by-step explanation:
you just have to divide 131/4 to get 32.75 but they all have to be equal
