1. Which expression represents the volume, in cubic centimeters, of the
cylinder represented in the diagram below? (To approximate, use 3.14 for
TT.)
27 cm
12 cm
O
A. 16277 = 508.68 cubic centimeters
O
B.324
= 1017.36 cubic centimeters
O
C.9727 = 3052.08 cubic centimeters
O
D.3,88871 = 12208.32 cubic centimeters

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial