Answer:
- r = 3V/(2πh²)
- h = 3V/b²
- r = 25/π cm ≈ 7.9577 cm
- w = 15 cm
Step-by-step explanation:
1. Multiply both sides of the equation by the reciprocal of the coefficient of r.

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2. Multiply both sides of the equation by the reciprocal of the coefficient of h.

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3. Solve the circumference formula for r, then substitute the given information.

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4. Solve the perimeter formula for width, the substitute the given information and do the arithmetic.

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In general, solving for a particular variable involves "undoing" what has been done to the variable, usually in the reverse order. In part 4, the variable W has L added and the sum is multiplied by 2. We "undo" those operations, last operation first, by dividing by 2 and subtracting L.
The properties of equality say you can do what you like to an equation as long as you do the same thing to both sides of the equation. So, when we say "divide by 2", we mean "divide both sides of the equation by 2." Likewise, "subtract L" means "subtract L from both sides of the equation."
Answer:
12.4 cm³
Step-by-step explanation:
From the picture attached,
Radius of the circular top of the cone =
= 
Height of the cone = h
Lateral height of the cone = h
By applying Pythagoras theorem in the right triangle of the cone,
l² = r² + h²
6² = 1² + h²
h = 
h = 
Ice cream needed to fill one cone = Volume of the cone
Since, formula for the volume of the cone V = 
V = 
= 6.195
≈ 6.20 cm³
Ice cream needed to fill the two cones = 2 × 6.20
= 12.4 cm³
Therefore, ice cream needed to fill the two cone = 12.4 cm³
Answer:
x = 12
Step-by-step explanation:
"Using the variable x for unknown number what is five more than the quotient of a number and 6 equals 7" translates into 5 + x/6 = 7.
To solve use inverse operations.
