Mensuration

The respective ratios between the numerical values of a curved surface area and the volume of a right circular cylinder is 1 : 7. If the respective ratio between the diameter and height of the cylinder is 7 : 6, what is the total surface area of the cylinder? Use $\pi = \frac{22}{7}$ एक लंब […]

A cuboid of dimensions 18 cm × 12 cm × 8 cm is melted and recast into smaller cubes each having an edge of 4 cm. Find the ratio of the total surface area of one small cube to that of the original cuboid. 18 सेमी × 12 सेमी × 8 सेमी विमाओं वाले एक

The sides of a triangle ABC are AB = 5 cm, BC = 6 cm and CA = 7 cm, respectively. Another triangle is formed by joining the mid-points of the sides of the triangle ABC. Find the perimeter of the second triangle in cm. एक त्रिभुज ABC की भुजाएँ क्रमशः AB = 5 सेमी,

The volume in m³ of a cuboidal tank with dimensions 34 m × 10 m × 26 m is: 34 m × 10 m × 26 m विमाओं वाले एक घनाभाकार टैंक का आयतन (m³ में) ज्ञात कीजिए।

If cot $\theta = \frac{14}{3}$, then what is the value of cos $ \theta$ ? ($0^\circ < \theta < 90^\circ )$ यदि cot $\theta = \frac{14}{3}$ है , तो cos $ \theta$  का मान ज्ञात कीजिए। ($0^\circ < \theta < 90^\circ )$

If the surface area of a sphere is 5544 $ \text cm^2$ , then find its diameter (in cm). (Use π = 22/7) यदि किसी गोले का पृष्ठीय क्षेत्रफल 5544 $ \text cm^2$है, तो उसका व्यास (सेमी में) ज्ञात कीजिए। (Use π = 22/7)का उपयोग कीजिए।

In a regular polygon, the number of diagonals is 9. Find the difference between one interior angle and one exterior angle of the polygon. एक समबहुभुज में विकर्णों की संख्या 9 है। बहुभुज के एक अंतः कोण और एक बाह्य कोण के बीच का अंतर ज्ञात कीजिए।

The outer and inner diameters of a hollow cylindrical pipe are 10 cm and 6 cm, respectively. If its length is 21 cm, then its total surface area is: एक खोखला बेलनाकार पाइप का बाह्य व्यास 10 cm और आंतरिक व्यास 6 cm है। यदि इसकी लंबाई 21 cm है, तो इसका संपूर्ण पृष्ठीय क्षेत्रफल