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Explanation: If we want to solve V = 1 3 πr2h for h, we need to isolate the term with h (already done), and then multiply both sides by the inverses of everything other than h. ⇒ V × 3 πr2 = 1 3πr2h × 3 πr2.
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Dividing by \frac{1}{3}\pi r^{2} undoes the multiplication by \frac{1}{3}\pi r^{2}. \frac{1}{3}\pi r^{2}h=v Swap sides so that all variable terms are on the left hand side.
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
Volume of a Cone. The volume of a cone is \frac { 1 } { 3 } \pi r ^ { 2 } h 31πr2h, where r r denotes the radius of the base of the cone, and h h denotes the height of the cone.
You have a function in two variable, essentially. V(r, h) = \frac{1}{3} \pi r^2 h So when differentiation with respect to time, you have to use the chain rule: \frac{\text{d}{V}}{\text{d}t} = \frac{\text{d}{V}}{\text{d}r}\frac{\text{d}r}{\text{d}t} + \frac{\text{d}{V}}{\text{d}h}\frac{\text{d}h}{\text{d}t} ...
How do you find the radius, to the nearest hundredth, of a cone with a height of 5 in. and a volume of 20 in3? Algebra Expressions, Equations, and Functions Problem-Solving Models. 1 Answer. Ratnaker Mehta. Mar 14, 2017. h ≈ 1.95 inch (2dp). Explanation: V = 1 3 πr2h ⇒ r2 = 3V πh ⇒ r = √3V πh. With, V = 20 and h = 5,r = √ (3)(20) 5π = √12 π.
What is the derivative of v = 1 3 πr2h? Calculus Basic Differentiation Rules Power Rule. 1 Answer. Timber Lin. May 25, 2018. dv dt = 2πrh 3 (dr dt) + πr2 3 (dh dt) Explanation: if you're doing related rates, you're probably differentiating with respect to t or time: d dt (v) = d dt (π 3 r2h) dv dt = π 3 d dt (r2h)
Solve the formula for the specific variable. V = \frac{1}{3}\pi r^{2}h for h; Find a linear function h given h(-1)=-9 and h(-6)=-2. (Simplify your answer. Use integers or...