Duckpin bowling is similar to ten-pin bowling, except the ball and pins are smaller and the ball has no holes for the fingers to go into. a duckpin ball has a diameter of 13 cm. find the surface area and volume of a duckpin ball. round your answers to the nearest whole number and leave pi in the answer. a. surface area: 366π volume: 169π c. surface area: 676π volume: 2,929π b. surface area: 169π volume: 366π d. surface area: 2,929π volume: 676π

the answer is b.

surface area: 169π

volume: 366π

i got it down.

ksksfksag;

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

17   x 256=4352

sorry if this is wrong, i'm new.

step-by-step explanation: