Question

Notify Me Bookmark

A spherical balloon is inflating with helium at a rate of 64π ft3 min. How fast is the balloon's radius increasing at the instant the radius is 2 ft? Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, using π as needed.) Differentiate both sides of the equation with respect to t. dV dt = ( ) dr dt (Type an exact answer, using π as needed. Type an expression using r as the variable.) The balloon's radius is increasing at a rate of at the instant the radius is 2 ft. (Simplify your answer.)

A spherical balloon is inflating with helium at a rate of 64π ft3 min. How fast is the balloon's radius increasing at the instant the radius is 2 ft? Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, using π as needed.) Differentiate both sides of the equation with respect to t. dV dt = ( ) dr dt (Type an exact answer, using π as needed. Type an expression using r as the variable.) The balloon's radius is increasing at a rate of at the instant the radius is 2 ft. (Simplify your answer.)

Image text
A spherical balloon is inflating with helium at a rate of 64 π f t 3 m i n . How fast is the balloon's radius increasing at the instant the radius is 2 f t ?
Write an equation relating the volume of a sphere, V , and the radius of the sphere, r . ◻ (Type an exact answer, using π as needed.) Differentiate both sides of the equation with respect to t .
d V d t = ( ◻ ) d r d t
(Type an exact answer, using π as needed. Type an expression using r as the variable.) The balloon's radius is increasing at a rate of ◻ ◻ at the instant the radius is 2 f t . (Simplify your answer.)
ft
ft
\mathrm { ft } ^ { 3 } / \text { min}
ft/min

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

A schematic drawing of a 118-ft dome used by a weather service to house radar is shown to the right. a. How much outside surface is there to paint (not counting the bottom)? b. Express the answer to the nearest square foot. a. Set up the integral that can be used to find the amount of surface to paint. Select the correct choice below and fill in the answer box to complete your choice. A. S = ∫−29.5 59 dy B. S = ∫−29.5 59 dx The outside surface to paint is (Type an exact answer, using π as needed. ) b. The outside surface to paint is approximately (Round to the nearest integer as needed.)A schematic drawing of a 118-ft dome used by a weather service to house radar is shown to the right. a. How much outside surface is there to paint (not counting the bottom)? b. Express the answer to the nearest square foot. a. Set up the integral that can be used to find the amount of surface to paint. Select the correct choice below and fill in the answer box to complete your choice. A. S = ∫−29.5 59 dy B. S = ∫−29.5 59 dx The outside surface to paint is (Type an exact answer, using π as needed. ) b. The outside surface to paint is approximately (Round to the nearest integer as needed.)
Solution
7 0

A schematic drawing of a 78-ft dome used by a weather service to house radar is shown to the right. a. How much outside surface is there to paint (not counting the bottom)? b. Express the answer to the nearest square foot. a. Set up the integral that can be used to find the amount of surface to paint. Select the correct choice below and fill in the answer box to complete your choice. The outside surface to paint is square feet. (Type an exact answer, using π as needed.) b. The outside surface to paint is approximately square feet. (Round to the nearest integer as needed.)
Solution
3 0

A solid lies between planes perpendicular to the y-axis at y = 0 and y = 2. The cross-sections perpendicular to the y-axis are circular disks with diameters running from the y-axis to the parabola x = √5 y^2. Find the volume of the solid. Set up the integral that gives the volume of the solid. (Type exact answers, using π as needed.) The volume of the solid is cubic units. (Type an exact answer, using π as needed.)
Solution
0 0