The surface area of a sphere of radius r is A = 4r?. If the surface area is increasing at a rate of 157 cm²/sec, how fast in the diameter increasing when the diameter is 3 cm? Express your answer as a decimal, rounded to 2 decimal places if necessary. Be sure to include proper units!

Q: A balloon is being inflated. If its volume increases at the rate of 5 cm^3/sec, how fast is the…

A:

Q: The volume of a cube is increasing at the rate of 8 cm3/sec.How fast is the surface are increasing…

A:

Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the…

A: The radius of the sphere is increasing at a rate of 5mm/sits diameter is 80 mm

Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 60cm³/s. How…

A: To find the rate at which surface area is changing

Q: A spherical balloon is being filled with air at the constant rate of (2 cm3)/(sec). How fast is the…

A: Given that  A spherical balloon is being filled with air at the constant rate of (2 cm3)/(sec). This…

Q: A spherical balloon is inflating at a rate of 277T in³/sec. How fast is the radius of the balloon…

A:

Q: A spherical balloon is being filled with air at a constant rate of 3 cm3/s. How fast is the radius…

A: Let,Volume of sphere = VRadius of sphere = rRate at which the volume of sphere is increasing = dVdt…

Q: A spherical balloon is inflating with helium at a rate of 192n ft° / min. How fast is the balloon's…

A: V=43πr3S=4πr2

Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m°, Imin: How fast 1.…

A:

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in…

A:

Q: Air is being pumped into a spherical balloon so that its volumeincreases at a rate of 100 cu. cm /s…

A:

Q: The volume of a metal in a hollow spherical is constant. If the inner radius is increasing at thr…

A:

Q: Air is being pumped into a spherical balloon so that its surface area increases at a ate of 100…

A:

Q: The volume of a cone of radius r and height h is given by V=1/3pir^2h. If the radius increases at a…

A: Volume of a cone = πr2h3 , Where r= radius of a cone and h= height of a conedrdt= 0.5cm/sec , dhdt=…

Q: The radius of a sphere is increasing at a rate of 4mm/s. How fast is the volume increasing when the…

A: The rate of change of the radius of the sphere, drdt = 4 mm/s To evaluate : The rate at which the…

Q: The volume of a cube is increasing at the rate o 8 cm³/sec.How fast is the surface area increasing…

A:

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the…

A:

Q: The volume of a metal in a hollow spherical is constant. If the inner radius is increasing at thr…

A:

Q: m Oil is running into an inverted conical tank at the rate of 37 -. If the min tank has a radius 2.5…

A:

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in…

A:

Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the…

A: Let be the volume and r be the radius of the sphere respectively.

Q: A ball is being inflated such that the volume is increasing at a constant rate of 100cm3/s How fast…

A: Given  and

Q: Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4…

A:

Q: Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4…

A:

Q: If a hemisphere bowl of radius 6 cm contains water to a depth of x cm, the volume of the water is rx…

A: This question is related to application of derivatives.

Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 70cm³ /s. How…

A: Volume of the sphere , V =43πr3 ; where , 'r' is the radius of the sphere. Surface Area of the…

Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that…

A:

Q: A spherical balloon is inflated so that its radius (r) increases at a rate of 1/3cm/sec. How fast is…

A: Vloume(V)=43πr3Differentiate w.r.t tdVdt=43π.3r2.drdt

Q: The edge length of a cube is 12 cm and increasing at a rate of 2 m. How fast is the Surface Area of…

A: Given dx/dt=2cm/hr X=12cm

Q: A spherical balloon is inflated with helium at the rate of 100p ft3/min. How fast is the balloon’s…

A: Let r be the radius, S be the surface area and V be the volume of the spherical balloon.Given,

Q: Air is pumped into a spherical balloon so that its volume increases at a rate of 100 cm /s. How fast…

A: d[r^n]/dr = n r^(n-1)

Q: The side of a cube is increasing at a rate of 2 mm/s. How fast is the volume Q4. - increasıng when…

A: To find  How fast is the volume of a cube increasing.

Q: A spherical snowball is melting in such a way that its surface area decreases at the rate of 1…

A:

Q: (2) In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all…

A:

Q: The radius of a sphere, initially zero, increases at the rate of 6ft per sec. Find how fast the…

A:

Q: A triangular trough is 5 m long, 2 m wide at the top and 2 m deep. If industrial strength acid is…

A: Solution

Q: You are inflating a spherical balloon at the rate of 7 cm³/sec. How fast is it radius increasing…

A:

Q: A spherical balloon is inflating with helium at a rate of 300r min How fast is the balloon's radius…

A:

Q: A spherical balloon is inflating with helium at a rate of 48π ft^3/min. How fast is the​ balloon's…

A: Let V be the volume of a spherical balloon with radius r at any time t.

Q: The volume of the cube is increasing at the rate of 8 cm3 /sec.how fast is the surface area…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 35 ft3/min, and its coarseness is such that…

A: Now given that

Q: 2) In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all…

A: Solution

Q: A soap bubble has a radius of 6 in and a volume of 288T in. How fast is the volume changing if the…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 10 ft3/min, and its coarseness is such that…

A: The volume of the pile is increasing at a rate of 10 ft3/min. so,dvdt=10 The diameter and height are…

Q: A snowball is being made so that its volume is increasing at the rate of 8 ft3/min. Find the rate at…

A: The geometrical figure of a snowball is a sphere. The volume of a sphere of radius r is V=4/3×πr3.…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.