Question

Humaning Time: 36:5 The volume of a sphere is increasing at a rate of 15 cubic centimeters per second. Find the rate of change of the radius when it is 5 milimeters. Round your answer to two decimal places. The rate of change of the radius is Number Units Hint Penalty Hint1 0.0 View Hint

Answer 1

8=5mm Given son 8=0.5cm du 15 dr =? atb dt volume >> (V) = 4 3 du= 4 (382) de (3(85) ) 8615=4 at 15 SEENOOT dr 15=UTXI 4 at - 4.77 cm dt T 10 Given da al as x=8; dt 8=10 lft/s 8 (2) 7 x+y = 6u+ y = 100 y=0 a (2441) = 24 (62)

a da + y dy dt att 1 + dy dt 11 dy dt -4 8 60 wl's ft/s - 1-333 ft/s at smolov 3 Gives TH V6 R RI R2 dri - dR = ? dR2 dt = 0.6 ; =0.5 1 at dt 2 = 60; R2 = 70 R 60 fr 70 13 R 420 -> R= 420 13 Now, dt [ ] [ 3 ] == ha dR -1 dhi d R2 no at - R² dt >> R? dt

13 420 Oo5 dr dt () 64 () 2.687074831164 ㅋ 위는 라 1312 20 dR at 0.280 ohme pel second